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153090028 = 227133113567
BaseRepresentation
bin10010001111111…
…11011111101100
3101200001210001001
421013333133230
5303142340103
623105130044
73536146420
oct1107773754
9350053031
10153090028
1179462893
1243329924
1325941520
1416490b80
15d69001d
hex91ff7ec

153090028 has 48 divisors (see below), whose sum is σ = 340393984. Its totient is φ = 58605120.

The previous prime is 153089983. The next prime is 153090029. The reversal of 153090028 is 820090351.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 153089978 and 153090005.

It is not an unprimeable number, because it can be changed into a prime (153090029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4501 + ... + 18067.

Almost surely, 2153090028 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 153090028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170196992).

153090028 is an abundant number, since it is smaller than the sum of its proper divisors (187303956).

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

153090028 is a wasteful number, since it uses less digits than its factorization.

153090028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13622 (or 13620 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 153090028 is about 12372.9555078809. The cubic root of 153090028 is about 534.9530083628.

The spelling of 153090028 in words is "one hundred fifty-three million, ninety thousand, twenty-eight".

Divisors: 1 2 4 7 13 14 26 28 31 52 62 91 124 182 217 364 403 434 806 868 1612 2821 5642 11284 13567 27134 54268 94969 176371 189938 352742 379876 420577 705484 841154 1234597 1682308 2469194 2944039 4938388 5467501 5888078 10935002 11776156 21870004 38272507 76545014 153090028