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125431540 = 225131925391
BaseRepresentation
bin1110111100111…
…10111011110100
322202000120201121
413132132323310
5224102302130
620240233324
73052102423
oct736367364
9282016647
10125431540
1164891633
123600b844
131cca9260
14129312ba
15b029d7a
hex779eef4

125431540 has 48 divisors (see below), whose sum is σ = 298609920. Its totient is φ = 43873920.

The previous prime is 125431531. The next prime is 125431541. The reversal of 125431540 is 45134521.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125431541) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7756 + ... + 17635.

It is an arithmetic number, because the mean of its divisors is an integer number (6221040).

Almost surely, 2125431540 is an apocalyptic number.

125431540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125431540 is an abundant number, since it is smaller than the sum of its proper divisors (173178380).

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

125431540 is a wasteful number, since it uses less digits than its factorization.

125431540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25432 (or 25430 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 125431540 is about 11199.6223150605. The cubic root of 125431540 is about 500.5747257941.

It can be divided in two parts, 12543 and 1540, that multiplied together give a triangular number (19316220 = T6215).

The spelling of 125431540 in words is "one hundred twenty-five million, four hundred thirty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 247 260 380 494 988 1235 2470 4940 25391 50782 101564 126955 253910 330083 482429 507820 660166 964858 1320332 1650415 1929716 2412145 3300830 4824290 6271577 6601660 9648580 12543154 25086308 31357885 62715770 125431540