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153114324 = 223117914683
BaseRepresentation
bin10010010000001…
…01011011010100
3101200010000100220
421020011123110
5303144124244
623105434340
73536310306
oct1110053324
9350100326
10153114324
117947a070
124333b9b0
132594c5bc
1416499976
15d697319
hex92056d4

153114324 has 48 divisors (see below), whose sum is σ = 394705920. Its totient is φ = 45807840.

The previous prime is 153114317. The next prime is 153114329. The reversal of 153114324 is 423411351.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 153114294 and 153114303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153114329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3087 + ... + 17769.

It is an arithmetic number, because the mean of its divisors is an integer number (8223040).

Almost surely, 2153114324 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 153114324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197352960).

153114324 is an abundant number, since it is smaller than the sum of its proper divisors (241591596).

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

153114324 is a wasteful number, since it uses less digits than its factorization.

153114324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14780 (or 14778 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 153114324 is about 12373.9372877027. The cubic root of 153114324 is about 534.9813065935.

Adding to 153114324 its reverse (423411351), we get a palindrome (576525675).

The spelling of 153114324 in words is "one hundred fifty-three million, one hundred fourteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 79 132 158 237 316 474 869 948 1738 2607 3476 5214 10428 14683 29366 44049 58732 88098 161513 176196 323026 484539 646052 969078 1159957 1938156 2319914 3479871 4639828 6959742 12759527 13919484 25519054 38278581 51038108 76557162 153114324