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1128916125 = 32536131637
BaseRepresentation
bin100001101001001…
…1110010010011101
32220200020212210100
41003102132102131
54303000304000
6304004331313
736655425441
oct10322362235
92820225710
101128916125
1152a275437
122760a3b39
1314cb6650c
14a9d08821
1569198a00
hex4349e49d

1128916125 has 48 divisors (see below), whose sum is σ = 2039624496. Its totient is φ = 600739200.

The previous prime is 1128916123. The next prime is 1128916163. The reversal of 1128916125 is 5216198211.

1128916125 is a `hidden beast` number, since 11 + 28 + 9 + 1 + 612 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1032915321 + 96000804 = 32139^2 + 9798^2 .

It is not a de Polignac number, because 1128916125 - 21 = 1128916123 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1128916125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1128916123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 688807 + ... + 690443.

It is an arithmetic number, because the mean of its divisors is an integer number (42492177).

Almost surely, 21128916125 is an apocalyptic number.

1128916125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1128916125 is a deficient number, since it is larger than the sum of its proper divisors (910708371).

1128916125 is a wasteful number, since it uses less digits than its factorization.

1128916125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271 (or 2258 counting only the distinct ones).

The product of its digits is 8640, while the sum is 36.

The square root of 1128916125 is about 33599.3470918707. The cubic root of 1128916125 is about 1041.2473092409.

The spelling of 1128916125 in words is "one billion, one hundred twenty-eight million, nine hundred sixteen thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 613 1125 1637 1839 3065 4911 5517 8185 9195 14733 15325 24555 27585 40925 45975 73665 76625 122775 137925 204625 229875 368325 613875 689625 1003481 1841625 3010443 5017405 9031329 15052215 25087025 45156645 75261075 125435125 225783225 376305375 1128916125