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125703240 = 233513194241
BaseRepresentation
bin1110111111000…
…01010001001000
322202112101102120
413133201101020
5224140000430
620250131240
73054313515
oct737412110
9282471376
10125703240
1164a57783
1236120b20
1320072b20
14129a230c
15b080610
hex77e1448

125703240 has 128 divisors (see below), whose sum is σ = 427593600. Its totient is φ = 29306880.

The previous prime is 125703199. The next prime is 125703241. The reversal of 125703240 is 42307521.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 125703240.

It is not an unprimeable number, because it can be changed into a prime (125703241) 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 31 ways as a sum of consecutive naturals, for example, 27520 + ... + 31760.

It is an arithmetic number, because the mean of its divisors is an integer number (3340575).

Almost surely, 2125703240 is an apocalyptic number.

125703240 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 125703240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213796800).

125703240 is an abundant number, since it is smaller than the sum of its proper divisors (301890360).

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

125703240 is a wasteful number, since it uses less digits than its factorization.

125703240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4287 (or 4283 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 125703240 is about 11211.7456267969. The cubic root of 125703240 is about 500.9359004211.

The spelling of 125703240 in words is "one hundred twenty-five million, seven hundred three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 19 20 24 26 30 38 39 40 52 57 60 65 76 78 95 104 114 120 130 152 156 190 195 228 247 260 285 312 380 390 456 494 520 570 741 760 780 988 1140 1235 1482 1560 1976 2280 2470 2964 3705 4241 4940 5928 7410 8482 9880 12723 14820 16964 21205 25446 29640 33928 42410 50892 55133 63615 80579 84820 101784 110266 127230 161158 165399 169640 220532 241737 254460 275665 322316 330798 402895 441064 483474 508920 551330 644632 661596 805790 826995 966948 1047527 1102660 1208685 1323192 1611580 1653990 1933896 2095054 2205320 2417370 3142581 3223160 3307980 4190108 4834740 5237635 6285162 6615960 8380216 9669480 10475270 12570324 15712905 20950540 25140648 31425810 41901080 62851620 125703240