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125420544 = 2103231439
BaseRepresentation
bin1110111100111…
…00010000000000
322202000000122100
413132130100000
5224101424134
620240110400
73052025364
oct736342000
9282000570
10125420544
1164884347
1236005400
131cca4252
141292b2a4
15b026999
hex779c400

125420544 has 132 divisors (see below), whose sum is σ = 374682880. Its totient is φ = 40366080.

The previous prime is 125420521. The next prime is 125420567. The reversal of 125420544 is 445024521.

It is an interprime number because it is at equal distance from previous prime (125420521) and next prime (125420567).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 285477 + ... + 285915.

Almost surely, 2125420544 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 125420544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187341440).

125420544 is an abundant number, since it is smaller than the sum of its proper divisors (249262336).

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

125420544 is a wasteful number, since it uses less digits than its factorization.

125420544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 125420544 is about 11199.1313948895. The cubic root of 125420544 is about 500.5600976802.

The spelling of 125420544 in words is "one hundred twenty-five million, four hundred twenty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 439 496 512 558 576 744 768 878 992 1024 1116 1152 1317 1488 1536 1756 1984 2232 2304 2634 2976 3072 3512 3951 3968 4464 4608 5268 5952 7024 7902 7936 8928 9216 10536 11904 13609 14048 15804 15872 17856 21072 23808 27218 28096 31608 31744 35712 40827 42144 47616 54436 56192 63216 71424 81654 84288 95232 108872 112384 122481 126432 142848 163308 168576 217744 224768 244962 252864 285696 326616 337152 435488 449536 489924 505728 653232 674304 870976 979848 1011456 1306464 1348608 1741952 1959696 2022912 2612928 3483904 3919392 4045824 5225856 6967808 7838784 10451712 13935616 15677568 20903424 31355136 41806848 62710272 125420544