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125084432 = 24111395113
BaseRepresentation
bin1110111010010…
…10001100010000
322201100221120202
413131022030100
5224010200212
620224554332
73046125434
oct735121420
9281327522
10125084432
1164674870
1235a829a8
131cbb7275
14128809c4
15aeac0c2
hex774a310

125084432 has 40 divisors (see below), whose sum is σ = 266337120. Its totient is φ = 56436480.

The previous prime is 125084423. The next prime is 125084441. The reversal of 125084432 is 234480521.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (125084423) and next prime (125084441).

It is a super-2 number, since 2×1250844322 = 31292230257525248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 125084395 and 125084404.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21908 + ... + 27020.

It is an arithmetic number, because the mean of its divisors is an integer number (6658428).

Almost surely, 2125084432 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 125084432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133168560).

125084432 is an abundant number, since it is smaller than the sum of its proper divisors (141252688).

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

125084432 is a wasteful number, since it uses less digits than its factorization.

125084432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5271 (or 5265 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 125084432 is about 11184.1151639278. The cubic root of 125084432 is about 500.1125506628.

The spelling of 125084432 in words is "one hundred twenty-five million, eighty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 139 176 278 556 1112 1529 2224 3058 5113 6116 10226 12232 20452 24464 40904 56243 81808 112486 224972 449944 710707 899888 1421414 2842828 5685656 7817777 11371312 15635554 31271108 62542216 125084432