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125032040 = 2357601743
BaseRepresentation
bin1110111001111…
…01011001101000
322201021021201022
413130331121220
5224002011130
620223512012
73045516620
oct734753150
9281237638
10125032040
1164639471
1235a58608
131cb99473
1412869880
15ae9b7e5
hex773d668

125032040 has 64 divisors (see below), whose sum is σ = 322479360. Its totient is φ = 42739200.

The previous prime is 125032031. The next prime is 125032043. The reversal of 125032040 is 40230521.

It is a super-2 number, since 2×1250320402 = 31266022053123200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (125032043) 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, 167909 + ... + 168651.

It is an arithmetic number, because the mean of its divisors is an integer number (5038740).

Almost surely, 2125032040 is an apocalyptic number.

125032040 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 125032040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161239680).

125032040 is an abundant number, since it is smaller than the sum of its proper divisors (197447320).

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

125032040 is a wasteful number, since it uses less digits than its factorization.

125032040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 125032040 is about 11181.7726680522. The cubic root of 125032040 is about 500.0427163505.

Adding to 125032040 its reverse (40230521), we get a palindrome (165262561).

The spelling of 125032040 in words is "one hundred twenty-five million, thirty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 601 743 1202 1486 2404 2972 3005 3715 4207 4808 5201 5944 6010 7430 8414 10402 12020 14860 16828 20804 21035 24040 26005 29720 33656 41608 42070 52010 84140 104020 168280 208040 446543 893086 1786172 2232715 3125801 3572344 4465430 6251602 8930860 12503204 15629005 17861720 25006408 31258010 62516020 125032040