Search a number
-
+
152322096 = 24331102367
BaseRepresentation
bin10010001010001…
…00000000110000
3101121121202122010
421011010000300
5302443301341
623040442520
73526500513
oct1105040060
9347552563
10152322096
1178a88933
1243019440
1325732b24
1416330d7a
15d58c716
hex9144030

152322096 has 40 divisors (see below), whose sum is σ = 406196224. Its totient is φ = 49135680.

The previous prime is 152322083. The next prime is 152322103. The reversal of 152322096 is 690223251.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49696 + ... + 52671.

Almost surely, 2152322096 is an apocalyptic number.

152322096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

152322096 is an abundant number, since it is smaller than the sum of its proper divisors (253874128).

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

152322096 is a wasteful number, since it uses less digits than its factorization.

152322096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102409 (or 102403 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 152322096 is about 12341.8838108289. The cubic root of 152322096 is about 534.0570293565.

The spelling of 152322096 in words is "one hundred fifty-two million, three hundred twenty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 102367 204734 307101 409468 614202 818936 1228404 1637872 2456808 3173377 4913616 6346754 9520131 12693508 19040262 25387016 38080524 50774032 76161048 152322096