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153668796 = 223232973263
BaseRepresentation
bin10010010100011…
…00110010111100
3101201011011221220
421022030302330
5303314400141
623125353340
73544106661
oct1112146274
9351134856
10153668796
1179818706
1243568850
1325ab4aa8
14165a1a68
15d756766
hex928ccbc

153668796 has 96 divisors (see below), whose sum is σ = 393845760. Its totient is φ = 46480896.

The previous prime is 153668771. The next prime is 153668839. The reversal of 153668796 is 697866351.

It is a super-2 number, since 2×1536687962 = 47228197728179232, 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 31 ways as a sum of consecutive naturals, for example, 584161 + ... + 584423.

It is an arithmetic number, because the mean of its divisors is an integer number (4102560).

Almost surely, 2153668796 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 153668796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196922880).

153668796 is an abundant number, since it is smaller than the sum of its proper divisors (240176964).

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

153668796 is a wasteful number, since it uses less digits than its factorization.

153668796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 393 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 51.

The square root of 153668796 is about 12396.3218738463. The cubic root of 153668796 is about 535.6263035296.

The spelling of 153668796 in words is "one hundred fifty-three million, six hundred sixty-eight thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 12 23 29 46 58 69 73 87 92 116 138 146 174 219 263 276 292 348 438 526 667 789 876 1052 1334 1578 1679 2001 2117 2668 3156 3358 4002 4234 5037 6049 6351 6716 7627 8004 8468 10074 12098 12702 15254 18147 19199 20148 22881 24196 25404 30508 36294 38398 45762 48691 57597 72588 76796 91524 97382 115194 146073 175421 194764 230388 292146 350842 441577 526263 556771 584292 701684 883154 1052526 1113542 1324731 1670313 1766308 2105052 2227084 2649462 3340626 5298924 6681252 12805733 25611466 38417199 51222932 76834398 153668796