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125034440 = 23519232311
BaseRepresentation
bin1110111001111…
…01111111001000
322201021102000012
413130331333020
5224002100230
620223531052
73045526616
oct734757710
9281242005
10125034440
1164640253
1235a59a88
131cb9a59b
141286a6b6
15ae9c395
hex773dfc8

125034440 has 96 divisors (see below), whose sum is σ = 310564800. Its totient is φ = 45175680.

The previous prime is 125034431. The next prime is 125034451. The reversal of 125034440 is 44430521.

It is a super-2 number, since 2×1250344402 = 31267222372227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

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, 401885 + ... + 402195.

It is an arithmetic number, because the mean of its divisors is an integer number (3235050).

Almost surely, 2125034440 is an apocalyptic number.

125034440 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 125034440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155282400).

125034440 is an abundant number, since it is smaller than the sum of its proper divisors (185530360).

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

125034440 is a wasteful number, since it uses less digits than its factorization.

125034440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 125034440 is about 11181.8799850472. The cubic root of 125034440 is about 500.0459157834.

Adding to 125034440 its reverse (44430521), we get a palindrome (169464961).

The spelling of 125034440 in words is "one hundred twenty-five million, thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 23 38 40 46 76 92 95 115 152 184 190 230 311 380 437 460 529 622 760 874 920 1058 1244 1555 1748 2116 2185 2488 2645 3110 3496 4232 4370 5290 5909 6220 7153 8740 10051 10580 11818 12440 14306 17480 20102 21160 23636 28612 29545 35765 40204 47272 50255 57224 59090 71530 80408 100510 118180 135907 143060 164519 201020 236360 271814 286120 329038 402040 543628 658076 679535 822595 1087256 1316152 1359070 1645190 2718140 3125861 3290380 5436280 6251722 6580760 12503444 15629305 25006888 31258610 62517220 125034440