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125992320 = 2735211311
BaseRepresentation
bin1111000001001…
…11110110000000
322210002001222020
413200213312000
5224223223240
620300241440
73056626356
oct740476600
9283061866
10125992320
1165134993
1236240280
132014458c
1412a397d6
15b0db0d0
hex7827d80

125992320 has 128 divisors (see below), whose sum is σ = 404801280. Its totient is φ = 33331200.

The previous prime is 125992297. The next prime is 125992333. The reversal of 125992320 is 23299521.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 404965 + ... + 405275.

It is an arithmetic number, because the mean of its divisors is an integer number (3162510).

Almost surely, 2125992320 is an apocalyptic number.

125992320 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 125992320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202400640).

125992320 is an abundant number, since it is smaller than the sum of its proper divisors (278808960).

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

125992320 is a wasteful number, since it uses less digits than its factorization.

125992320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 125992320 is about 11224.6300607192. The cubic root of 125992320 is about 501.3196075413.

The spelling of 125992320 in words is "one hundred twenty-five million, nine hundred ninety-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 211 240 311 320 384 422 480 622 633 640 844 933 960 1055 1244 1266 1555 1688 1866 1920 2110 2488 2532 3110 3165 3376 3732 4220 4665 4976 5064 6220 6330 6752 7464 8440 9330 9952 10128 12440 12660 13504 14928 16880 18660 19904 20256 24880 25320 27008 29856 33760 37320 39808 40512 49760 50640 59712 65621 67520 74640 81024 99520 101280 119424 131242 135040 149280 196863 199040 202560 262484 298560 328105 393726 405120 524968 597120 656210 787452 984315 1049936 1312420 1574904 1968630 2099872 2624840 3149808 3937260 4199744 5249680 6299616 7874520 8399488 10499360 12599232 15749040 20998720 25198464 31498080 41997440 62996160 125992320