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125423424 = 2633710369
BaseRepresentation
bin1110111100111…
…00111101000000
322202000011121000
413132130331000
5224102022144
620240132000
73052036650
oct736347500
9282004530
10125423424
1164886525
1236007000
131cca5659
141292c360
15b027769
hex779cf40

125423424 has 112 divisors (see below), whose sum is σ = 421436800. Its totient is φ = 35831808.

The previous prime is 125423423. The next prime is 125423437. The reversal of 125423424 is 424324521.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125423423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6912 + ... + 17280.

Almost surely, 2125423424 is an apocalyptic number.

125423424 is a gapful number since it is divisible by the number (14) 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 125423424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210718400).

125423424 is an abundant number, since it is smaller than the sum of its proper divisors (296013376).

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

125423424 is a wasteful number, since it uses less digits than its factorization.

125423424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10397 (or 10381 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 125423424 is about 11199.2599755520. The cubic root of 125423424 is about 500.5639290622.

Adding to 125423424 its reverse (424324521), we get a palindrome (549747945).

The spelling of 125423424 in words is "one hundred twenty-five million, four hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 10369 12096 20738 31107 41476 62214 72583 82952 93321 124428 145166 165904 186642 217749 248856 279963 290332 331808 373284 435498 497712 559926 580664 653247 663616 746568 870996 995424 1119852 1161328 1306494 1493136 1741992 1959741 1990848 2239704 2322656 2612988 2986272 3483984 3919482 4479408 4645312 5225976 5972544 6967968 7838964 8958816 10451952 13935936 15677928 17917632 20903904 31355856 41807808 62711712 125423424