[go: up one dir, main page]

Search a number
-
+
23619420 = 223251179151
BaseRepresentation
bin101101000011…
…0011101011100
31122102222202100
41122012131130
522021310140
62202125100
7404522166
oct132063534
948388670
1023619420
1112372690
127ab0790
134b7c9b6
1431cb936
152118530
hex168675c

23619420 has 144 divisors (see below), whose sum is σ = 79672320. Its totient is φ = 5616000.

The previous prime is 23619389. The next prime is 23619433. The reversal of 23619420 is 2491632.

23619420 is a `hidden beast` number, since 2 + 3 + 619 + 42 + 0 = 666.

It is a super-2 number, since 2×236194202 = 1115754002272800, which contains 22 as substring.

It is a congruent number.

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, 156345 + ... + 156495.

It is an arithmetic number, because the mean of its divisors is an integer number (553280).

Almost surely, 223619420 is an apocalyptic number.

23619420 is a gapful number since it is divisible by the number (20) 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 23619420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39836160).

23619420 is an abundant number, since it is smaller than the sum of its proper divisors (56052900).

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

23619420 is a wasteful number, since it uses less digits than its factorization.

23619420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 23619420 is about 4859.9814814462. The cubic root of 23619420 is about 286.9170848307.

It can be divided in two parts, 2361 and 9420, that added together give a triangular number (11781 = T153).

The spelling of 23619420 in words is "twenty-three million, six hundred nineteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 79 90 99 110 132 151 158 165 180 198 220 237 302 316 330 395 396 453 474 495 604 660 711 755 790 869 906 948 990 1185 1359 1422 1510 1580 1661 1738 1812 1980 2265 2370 2607 2718 2844 3020 3322 3476 3555 4345 4530 4740 4983 5214 5436 6644 6795 7110 7821 8305 8690 9060 9966 10428 11929 13035 13590 14220 14949 15642 16610 17380 19932 23858 24915 26070 27180 29898 31284 33220 35787 39105 47716 49830 52140 59645 59796 71574 74745 78210 99660 107361 119290 131219 143148 149490 156420 178935 214722 238580 262438 298980 357870 393657 429444 524876 536805 656095 715740 787314 1073610 1180971 1312190 1574628 1968285 2147220 2361942 2624380 3936570 4723884 5904855 7873140 11809710 23619420