[go: up one dir, main page]

Search a number
-
+
1421321220 = 22325111937781
BaseRepresentation
bin101010010110111…
…1010010000000100
310200001110121011200
41110231322100010
510402324234340
6353011502500
750136013434
oct12455722004
93601417150
101421321220
1166a331740
12337bb7a30
13198605397
14d6aa22c4
1584ba7330
hex54b7a404

1421321220 has 144 divisors (see below), whose sum is σ = 4950953280. Its totient is φ = 326419200.

The previous prime is 1421321191. The next prime is 1421321243. The reversal of 1421321220 is 221231241.

It is a happy number.

1421321220 is a `hidden beast` number, since 1 + 421 + 3 + 21 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1421321193 and 1421321202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18730 + ... + 56510.

It is an arithmetic number, because the mean of its divisors is an integer number (34381620).

Almost surely, 21421321220 is an apocalyptic number.

1421321220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1421321220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2475476640).

1421321220 is an abundant number, since it is smaller than the sum of its proper divisors (3529632060).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1421321220 is a wasteful number, since it uses less digits than its factorization.

1421321220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37826 (or 37821 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1421321220 is about 37700.4140560817. The cubic root of 1421321220 is about 1124.3393573067.

Adding to 1421321220 its reverse (221231241), we get a palindrome (1642552461).

The spelling of 1421321220 in words is "one billion, four hundred twenty-one million, three hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 19 20 22 30 33 36 38 44 45 55 57 60 66 76 90 95 99 110 114 132 165 171 180 190 198 209 220 228 285 330 342 380 396 418 495 570 627 660 684 836 855 990 1045 1140 1254 1710 1881 1980 2090 2508 3135 3420 3762 4180 6270 7524 9405 12540 18810 37620 37781 75562 113343 151124 188905 226686 340029 377810 415591 453372 566715 680058 717839 755620 831182 1133430 1246773 1360116 1435678 1662364 1700145 2077955 2153517 2266860 2493546 2871356 3400290 3589195 3740319 4155910 4307034 4987092 6233865 6460551 6800580 7178390 7480638 7896229 8311820 8614068 10767585 12467730 12921102 14356780 14961276 15792458 18701595 21535170 23688687 24935460 25842204 31584916 32302755 37403190 39481145 43070340 47377374 64605510 71066061 74806380 78962290 94754748 118443435 129211020 142132122 157924580 236886870 284264244 355330305 473773740 710660610 1421321220