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153020556 = 223313731493
BaseRepresentation
bin10010001111011…
…10100010001100
3101122221020202000
421013232202030
5303133124211
623103432300
73535440033
oct1107564214
9348836660
10153020556
1179415677
12432b5690
1325918a10
141647371a
15d679656
hex91ee88c

153020556 has 96 divisors (see below), whose sum is σ = 433379520. Its totient is φ = 46407168.

The previous prime is 153020447. The next prime is 153020561. The reversal of 153020556 is 655020351.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 101746 + ... + 103238.

It is an arithmetic number, because the mean of its divisors is an integer number (4514370).

Almost surely, 2153020556 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 153020556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216689760).

153020556 is an abundant number, since it is smaller than the sum of its proper divisors (280358964).

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

153020556 is a wasteful number, since it uses less digits than its factorization.

153020556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 153020556 is about 12370.1477759969. The cubic root of 153020556 is about 534.8720758575.

The spelling of 153020556 in words is "one hundred fifty-three million, twenty thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 73 78 108 117 146 156 219 234 292 351 438 468 657 702 876 949 1314 1404 1493 1898 1971 2628 2847 2986 3796 3942 4479 5694 5972 7884 8541 8958 11388 13437 17082 17916 19409 25623 26874 34164 38818 40311 51246 53748 58227 77636 80622 102492 108989 116454 161244 174681 217978 232908 326967 349362 435956 524043 653934 698724 980901 1048086 1307868 1416857 1961802 2096172 2833714 2942703 3923604 4250571 5667428 5885406 8501142 11770812 12751713 17002284 25503426 38255139 51006852 76510278 153020556