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128872116 = 223231311437
BaseRepresentation
bin1111010111001…
…10111010110100
322222111101022100
413223212322310
5230442401431
620442102100
73123252312
oct753467264
9288441270
10128872116
116682158a
12371aa930
13209122b9
14131890b2
15b4a94e6
hex7ae6eb4

128872116 has 36 divisors (see below), whose sum is σ = 326829412. Its totient is φ = 42816384.

The previous prime is 128872109. The next prime is 128872123. The reversal of 128872116 is 611278821.

It is an interprime number because it is at equal distance from previous prime (128872109) and next prime (128872123).

It can be written as a sum of positive squares in 2 ways, for example, as 13395600 + 115476516 = 3660^2 + 10746^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5550 + ... + 16986.

Almost surely, 2128872116 is an apocalyptic number.

It is an amenable number.

128872116 is an abundant number, since it is smaller than the sum of its proper divisors (197957296).

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

128872116 is a wasteful number, since it uses less digits than its factorization.

128872116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11760 (or 11755 counting only the distinct ones).

The product of its digits is 10752, while the sum is 36.

The square root of 128872116 is about 11352.1855164545. The cubic root of 128872116 is about 505.1104107832.

The spelling of 128872116 in words is "one hundred twenty-eight million, eight hundred seventy-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 313 626 939 1252 1878 2817 3756 5634 11268 11437 22874 34311 45748 68622 102933 137244 205866 411732 3579781 7159562 10739343 14319124 21478686 32218029 42957372 64436058 128872116