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125934400 = 2652312539
BaseRepresentation
bin1111000000110…
…01101101000000
322202222010112001
413200121231000
5224214400100
620255113344
73056265454
oct740315500
9282863461
10125934400
11650a5419
1236212854
13201240c7
1412a22664
15b0c8d6a
hex7819b40

125934400 has 84 divisors (see below), whose sum is σ = 319999360. Its totient is φ = 48729600.

The previous prime is 125934397. The next prime is 125934409. The reversal of 125934400 is 4439521.

It is a super-3 number, since 3×1259344003 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125934409) by changing a digit.

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, 48331 + ... + 50869.

Almost surely, 2125934400 is an apocalyptic number.

125934400 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 125934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159999680).

125934400 is an abundant number, since it is smaller than the sum of its proper divisors (194064960).

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

125934400 is a wasteful number, since it uses less digits than its factorization.

125934400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2592 (or 2577 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 125934400 is about 11222.0497236467. The cubic root of 125934400 is about 501.2427751274.

The spelling of 125934400 in words is "one hundred twenty-five million, nine hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 64 80 100 124 155 160 200 248 310 320 400 496 620 775 800 992 1240 1550 1600 1984 2480 2539 3100 4960 5078 6200 9920 10156 12400 12695 20312 24800 25390 40624 49600 50780 63475 78709 81248 101560 126950 157418 162496 203120 253900 314836 393545 406240 507800 629672 787090 812480 1015600 1259344 1574180 1967725 2031200 2518688 3148360 3935450 4062400 5037376 6296720 7870900 12593440 15741800 25186880 31483600 62967200 125934400