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125422400 = 2652431823
BaseRepresentation
bin1110111100111…
…00101101000000
322202000010012002
413132130231000
5224102004100
620240123132
73052033655
oct736345500
9282003162
10125422400
1164885784
12360064a8
131cca504c
141292bc2c
15b0272d5
hex779cb40

125422400 has 84 divisors (see below), whose sum is σ = 315967872. Its totient is φ = 48975360.

The previous prime is 125422397. The next prime is 125422411. The reversal of 125422400 is 4224521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67889 + ... + 69711.

Almost surely, 2125422400 is an apocalyptic number.

125422400 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 125422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157983936).

125422400 is an abundant number, since it is smaller than the sum of its proper divisors (190545472).

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

125422400 is a wasteful number, since it uses less digits than its factorization.

125422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1888 (or 1873 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 125422400 is about 11199.2142581522. The cubic root of 125422400 is about 500.5625667998.

Adding to 125422400 its reverse (4224521), we get a palindrome (129646921).

The spelling of 125422400 in words is "one hundred twenty-five million, four hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 64 80 86 100 160 172 200 215 320 344 400 430 688 800 860 1075 1376 1600 1720 1823 2150 2752 3440 3646 4300 6880 7292 8600 9115 13760 14584 17200 18230 29168 34400 36460 45575 58336 68800 72920 78389 91150 116672 145840 156778 182300 291680 313556 364600 391945 583360 627112 729200 783890 1254224 1458400 1567780 1959725 2508448 2916800 3135560 3919450 5016896 6271120 7838900 12542240 15677800 25084480 31355600 62711200 125422400