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125662140 = 22325798837
BaseRepresentation
bin1110111110101…
…11001110111100
322202110022001100
413133113032330
5224132142030
620245213100
73054052632
oct737271674
9282408040
10125662140
1164a2990a
1236101190
132005a1c6
1412991352
15b073360
hex77d73bc

125662140 has 72 divisors (see below), whose sum is σ = 386043840. Its totient is φ = 33081984.

The previous prime is 125662139. The next prime is 125662151. The reversal of 125662140 is 41266521.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9802 + ... + 18638.

It is an arithmetic number, because the mean of its divisors is an integer number (5361720).

Almost surely, 2125662140 is an apocalyptic number.

125662140 is a gapful number since it is divisible by the number (10) 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 125662140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193021920).

125662140 is an abundant number, since it is smaller than the sum of its proper divisors (260381700).

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

125662140 is a wasteful number, since it uses less digits than its factorization.

125662140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8931 (or 8926 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 125662140 is about 11209.9125777144. The cubic root of 125662140 is about 500.8812990447.

It can be divided in two parts, 12566 and 2140, that added together give a triangular number (14706 = T171).

The spelling of 125662140 in words is "one hundred twenty-five million, six hundred sixty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 79 90 158 180 237 316 395 474 711 790 948 1185 1422 1580 2370 2844 3555 4740 7110 8837 14220 17674 26511 35348 44185 53022 79533 88370 106044 132555 159066 176740 265110 318132 397665 530220 698123 795330 1396246 1590660 2094369 2792492 3490615 4188738 6283107 6981230 8377476 10471845 12566214 13962460 20943690 25132428 31415535 41887380 62831070 125662140