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125378370 = 2325131011061
BaseRepresentation
bin1110111100100…
…01111101000010
322201220212210100
413132101331002
5224044101440
620235143230
73051461415
oct736217502
9281825710
10125378370
1164855697
1235ba4b16
131cc8acb0
1412919b7c
15b019230
hex7791f42

125378370 has 96 divisors (see below), whose sum is σ = 354869424. Its totient is φ = 30528000.

The previous prime is 125378329. The next prime is 125378371. The reversal of 125378370 is 73873521.

It can be written as a sum of positive squares in 8 ways, for example, as 76055841 + 49322529 = 8721^2 + 7023^2 .

It is not an unprimeable number, because it can be changed into a prime (125378371) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117640 + ... + 118700.

Almost surely, 2125378370 is an apocalyptic number.

125378370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125378370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177434712).

125378370 is an abundant number, since it is smaller than the sum of its proper divisors (229491054).

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

125378370 is a wasteful number, since it uses less digits than its factorization.

125378370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 125378370 is about 11197.2483226907. The cubic root of 125378370 is about 500.5039851606.

The spelling of 125378370 in words is "one hundred twenty-five million, three hundred seventy-eight thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 101 117 130 195 202 234 303 390 505 585 606 909 1010 1061 1170 1313 1515 1818 2122 2626 3030 3183 3939 4545 5305 6366 6565 7878 9090 9549 10610 11817 13130 13793 15915 19098 19695 23634 27586 31830 39390 41379 47745 59085 68965 82758 95490 107161 118170 124137 137930 206895 214322 248274 321483 413790 535805 620685 642966 964449 1071610 1241370 1393093 1607415 1928898 2786186 3214830 4179279 4822245 6965465 8358558 9644490 12537837 13930930 20896395 25075674 41792790 62689185 125378370