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151020128 = 2574315679
BaseRepresentation
bin10010000000001…
…10001001100000
3101112011121200002
421000012021200
5302130121003
622552515132
73512435630
oct1100061140
9345147602
10151020128
1178279726
12426abaa8
132539832c
14160b26c0
15d3d1a88
hex9006260

151020128 has 48 divisors (see below), whose sum is σ = 347719680. Its totient is φ = 63213696.

The previous prime is 151020119. The next prime is 151020143. The reversal of 151020128 is 821020151.

It is a happy number.

It is a super-2 number, since 2×1510201282 = 45614158122272768, 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1793 + ... + 17471.

It is an arithmetic number, because the mean of its divisors is an integer number (7244160).

Almost surely, 2151020128 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 151020128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173859840).

151020128 is an abundant number, since it is smaller than the sum of its proper divisors (196699552).

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

151020128 is a wasteful number, since it uses less digits than its factorization.

151020128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15739 (or 15731 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 20.

The square root of 151020128 is about 12289.0246968586. The cubic root of 151020128 is about 532.5310618365.

Adding to 151020128 its reverse (821020151), we get a palindrome (972040279).

The spelling of 151020128 in words is "one hundred fifty-one million, twenty thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 86 112 172 224 301 344 602 688 1204 1376 2408 4816 9632 15679 31358 62716 109753 125432 219506 250864 439012 501728 674197 878024 1348394 1756048 2696788 3512096 4719379 5393576 9438758 10787152 18877516 21574304 37755032 75510064 151020128