[go: up one dir, main page]

Search a number
-
+
524021220 = 223254379857
BaseRepresentation
bin11111001110111…
…110110111100100
31100112001000222100
4133032332313210
52033122134340
6123555332100
715662051442
oct3716766744
91315030870
10524021220
11249883998
121275b1030
1384745938
144d849b92
1531010830
hex1f3bede4

524021220 has 144 divisors (see below), whose sum is σ = 1649007360. Its totient is φ = 134604288.

The previous prime is 524021207. The next prime is 524021227. The reversal of 524021220 is 22120425.

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 = 524021193 and 524021202.

It is not an unprimeable number, because it can be changed into a prime (524021227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 611032 + ... + 611888.

It is an arithmetic number, because the mean of its divisors is an integer number (11451440).

Almost surely, 2524021220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 524021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824503680).

524021220 is an abundant number, since it is smaller than the sum of its proper divisors (1124986140).

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

524021220 is a wasteful number, since it uses less digits than its factorization.

524021220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 524021220 is about 22891.5097798289. The cubic root of 524021220 is about 806.2126804431.

Adding to 524021220 its reverse (22120425), we get a palindrome (546141645).

The spelling of 524021220 in words is "five hundred twenty-four million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 79 86 90 129 158 172 180 215 237 258 316 387 395 430 474 516 645 711 774 790 857 860 948 1185 1290 1422 1548 1580 1714 1935 2370 2571 2580 2844 3397 3428 3555 3870 4285 4740 5142 6794 7110 7713 7740 8570 10191 10284 12855 13588 14220 15426 16985 17140 20382 25710 30573 30852 33970 36851 38565 40764 50955 51420 61146 67703 67940 73702 77130 101910 110553 122292 135406 147404 152865 154260 184255 203109 203820 221106 270812 305730 331659 338515 368510 406218 442212 552765 609327 611460 663318 677030 737020 812436 1015545 1105530 1218654 1326636 1354060 1658295 2031090 2211060 2437308 2911229 3046635 3316590 4062180 5822458 6093270 6633180 8733687 11644916 12186540 14556145 17467374 26201061 29112290 34934748 43668435 52402122 58224580 87336870 104804244 131005305 174673740 262010610 524021220