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125797440 = 2635592221
BaseRepresentation
bin1110111111110…
…00010001000000
322202201011122110
413133320101000
5224201004230
620252135320
73055155246
oct737702100
9282634573
10125797440
116501152a
1236167540
13200a6972
14129c8796
15b09d4b0
hex77f8440

125797440 has 112 divisors (see below), whose sum is σ = 406359360. Its totient is φ = 32962560.

The previous prime is 125797417. The next prime is 125797453. The reversal of 125797440 is 44797521.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 55530 + ... + 57750.

Almost surely, 2125797440 is an apocalyptic number.

125797440 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 125797440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203179680).

125797440 is an abundant number, since it is smaller than the sum of its proper divisors (280561920).

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

125797440 is a wasteful number, since it uses less digits than its factorization.

125797440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2300 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 125797440 is about 11215.9457915951. The cubic root of 125797440 is about 501.0610002975.

The spelling of 125797440 in words is "one hundred twenty-five million, seven hundred ninety-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 59 60 64 80 96 118 120 160 177 192 236 240 295 320 354 472 480 590 708 885 944 960 1180 1416 1770 1888 2221 2360 2832 3540 3776 4442 4720 5664 6663 7080 8884 9440 11105 11328 13326 14160 17768 18880 22210 26652 28320 33315 35536 44420 53304 56640 66630 71072 88840 106608 131039 133260 142144 177680 213216 262078 266520 355360 393117 426432 524156 533040 655195 710720 786234 1048312 1066080 1310390 1572468 1965585 2096624 2132160 2620780 3144936 3931170 4193248 5241560 6289872 7862340 8386496 10483120 12579744 15724680 20966240 25159488 31449360 41932480 62898720 125797440