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125440800 = 2535252267
BaseRepresentation
bin1110111101000…
…01001100100000
322202001001102120
413132201030200
5224103101200
620240344240
73052141422
oct736411440
9282031376
10125440800
1164898591
1236015080
131ccb0534
1412934812
15b02c9a0
hex77a1320

125440800 has 72 divisors (see below), whose sum is σ = 408317616. Its totient is φ = 33450240.

The previous prime is 125440789. The next prime is 125440801. The reversal of 125440800 is 8044521.

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

It is not an unprimeable number, because it can be changed into a prime (125440801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23734 + ... + 28533.

It is an arithmetic number, because the mean of its divisors is an integer number (5671078).

Almost surely, 2125440800 is an apocalyptic number.

125440800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125440800 is an abundant number, since it is smaller than the sum of its proper divisors (282876816).

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

125440800 is a wasteful number, since it uses less digits than its factorization.

125440800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52290 (or 52277 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 125440800 is about 11200.0357142288. The cubic root of 125440800 is about 500.5870438227.

The spelling of 125440800 in words is "one hundred twenty-five million, four hundred forty thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 52267 104534 156801 209068 261335 313602 418136 522670 627204 784005 836272 1045340 1254408 1306675 1568010 1672544 2090680 2508816 2613350 3136020 3920025 4181360 5017632 5226700 6272040 7840050 8362720 10453400 12544080 15680100 20906800 25088160 31360200 41813600 62720400 125440800