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125374440 = 23359710771
BaseRepresentation
bin1110111100100…
…00111111101000
322201220200101210
413132100333220
5224043440230
620235113120
73051444102
oct736207750
9281820353
10125374440
1164852744
1235ba27a0
131cc89279
1412918572
15b017eb0
hex7790fe8

125374440 has 64 divisors (see below), whose sum is σ = 380036160. Its totient is φ = 33085440.

The previous prime is 125374429. The next prime is 125374441. The reversal of 125374440 is 44473521.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 125374398 and 125374407.

It is not an unprimeable number, because it can be changed into a prime (125374441) 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, 6255 + ... + 17025.

It is an arithmetic number, because the mean of its divisors is an integer number (5938065).

Almost surely, 2125374440 is an apocalyptic number.

125374440 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 125374440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190018080).

125374440 is an abundant number, since it is smaller than the sum of its proper divisors (254661720).

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

125374440 is a wasteful number, since it uses less digits than its factorization.

125374440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10882 (or 10878 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 125374440 is about 11197.0728317717. The cubic root of 125374440 is about 500.4987556535.

The spelling of 125374440 in words is "one hundred twenty-five million, three hundred seventy-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 97 120 194 291 388 485 582 776 970 1164 1455 1940 2328 2910 3880 5820 10771 11640 21542 32313 43084 53855 64626 86168 107710 129252 161565 215420 258504 323130 430840 646260 1044787 1292520 2089574 3134361 4179148 5223935 6268722 8358296 10447870 12537444 15671805 20895740 25074888 31343610 41791480 62687220 125374440