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125422800 = 24352195501
BaseRepresentation
bin1110111100111…
…00110011010000
322202000010201220
413132130303100
5224102012200
620240125040
73052035066
oct736346320
9282003656
10125422800
1164886008
1236006780
131cca5299
141292c036
15b0274a0
hex779ccd0

125422800 has 120 divisors (see below), whose sum is σ = 422993760. Its totient is φ = 31680000.

The previous prime is 125422799. The next prime is 125422811. The reversal of 125422800 is 8224521.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20050 + ... + 25550.

It is an arithmetic number, because the mean of its divisors is an integer number (3524948).

Almost surely, 2125422800 is an apocalyptic number.

125422800 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 125422800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211496880).

125422800 is an abundant number, since it is smaller than the sum of its proper divisors (297570960).

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

125422800 is a wasteful number, since it uses less digits than its factorization.

125422800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5541 (or 5530 counting only the distinct ones).

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

The square root of 125422800 is about 11199.2321165337. The cubic root of 125422800 is about 500.5630989344.

The spelling of 125422800 in words is "one hundred twenty-five million, four hundred twenty-two thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 38 40 48 50 57 60 75 76 80 95 100 114 120 150 152 190 200 228 240 285 300 304 380 400 456 475 570 600 760 912 950 1140 1200 1425 1520 1900 2280 2850 3800 4560 5501 5700 7600 11002 11400 16503 22004 22800 27505 33006 44008 55010 66012 82515 88016 104519 110020 132024 137525 165030 209038 220040 264048 275050 313557 330060 412575 418076 440080 522595 550100 627114 660120 825150 836152 1045190 1100200 1254228 1320240 1567785 1650300 1672304 2090380 2200400 2508456 2612975 3135570 3300600 4180760 5016912 5225950 6271140 6601200 7838925 8361520 10451900 12542280 15677850 20903800 25084560 31355700 41807600 62711400 125422800