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125216928 = 253516103
BaseRepresentation
bin1110111011010…
…10100010100000
322201121200100000
413131222202200
5224023420203
620231500000
73050216634
oct735524240
9281550300
10125216928
1164755371
1235b27600
131cc32675
14128b6dc4
15aed64a3
hex776a8a0

125216928 has 72 divisors (see below), whose sum is σ = 369296928. Its totient is φ = 41736384.

The previous prime is 125216921. The next prime is 125216929. The reversal of 125216928 is 829612521.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 125216892 and 125216901.

It is not an unprimeable number, because it can be changed into a prime (125216921) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 276 + ... + 15827.

It is an arithmetic number, because the mean of its divisors is an integer number (5129124).

Almost surely, 2125216928 is an apocalyptic number.

125216928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125216928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184648464).

125216928 is an abundant number, since it is smaller than the sum of its proper divisors (244080000).

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

125216928 is an equidigital number, since it uses as much as digits as its factorization.

125216928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16128 (or 16108 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 125216928 is about 11190.0369972579. The cubic root of 125216928 is about 500.2890701780.

The spelling of 125216928 in words is "one hundred twenty-five million, two hundred sixteen thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 16103 32206 48309 64412 96618 128824 144927 193236 257648 289854 386472 434781 515296 579708 772944 869562 1159416 1304343 1545888 1739124 2318832 2608686 3478248 3913029 4637664 5217372 6956496 7826058 10434744 13912992 15652116 20869488 31304232 41738976 62608464 125216928