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153112520 = 23511347983
BaseRepresentation
bin10010010000001…
…00111111001000
3101200002220220002
421020010333020
5303144100040
623105422132
73536302121
oct1110047710
9350086802
10153112520
1179478780
124333a948
132594b832
1416499048
15d696a15
hex9204fc8

153112520 has 32 divisors (see below), whose sum is σ = 375822720. Its totient is φ = 55677120.

The previous prime is 153112517. The next prime is 153112543. The reversal of 153112520 is 25211351.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 153112492 and 153112501.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 173552 + ... + 174431.

It is an arithmetic number, because the mean of its divisors is an integer number (11744460).

Almost surely, 2153112520 is an apocalyptic number.

153112520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153112520 is an abundant number, since it is smaller than the sum of its proper divisors (222710200).

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

153112520 is a wasteful number, since it uses less digits than its factorization.

153112520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348005 (or 348001 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 153112520 is about 12373.8643923392. The cubic root of 153112520 is about 534.9792055271.

Adding to 153112520 its reverse (25211351), we get a palindrome (178323871).

It can be divided in two parts, 15311 and 2520, that multiplied together give a triangular number (38583720 = T8784).

The spelling of 153112520 in words is "one hundred fifty-three million, one hundred twelve thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 347983 695966 1391932 1739915 2783864 3479830 3827813 6959660 7655626 13919320 15311252 19139065 30622504 38278130 76556260 153112520