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128045460 = 22354152051
BaseRepresentation
bin1111010000111…
…01000110010100
322220221101100110
413220131012110
5230234423320
620412243020
73113240244
oct750350624
9286841313
10128045460
11663074a4
1236a70470
13206b2c5a
1413011b24
15b3945e0
hex7a1d194

128045460 has 48 divisors (see below), whose sum is σ = 367278912. Its totient is φ = 33312000.

The previous prime is 128045441. The next prime is 128045471. The reversal of 128045460 is 64540821.

It is a super-2 number, since 2×1280454602 = 32791279653223200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 23566 + ... + 28485.

It is an arithmetic number, because the mean of its divisors is an integer number (7651644).

Almost surely, 2128045460 is an apocalyptic number.

128045460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128045460 is an abundant number, since it is smaller than the sum of its proper divisors (239233452).

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

128045460 is a wasteful number, since it uses less digits than its factorization.

128045460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52104 (or 52102 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 128045460 is about 11315.7173877753. The cubic root of 128045460 is about 504.0280754076.

The spelling of 128045460 in words is "one hundred twenty-eight million, forty-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 2460 52051 104102 156153 208204 260255 312306 520510 624612 780765 1041020 1561530 2134091 3123060 4268182 6402273 8536364 10670455 12804546 21340910 25609092 32011365 42681820 64022730 128045460