Search a number
-
+
125315190 = 2325711132107
BaseRepresentation
bin1110111100000…
…10100001110110
322201210200010100
413132002201312
5224040041230
620233534530
73051106260
oct736024166
9281720110
10125315190
1164812180
1235b74446
131cc68300
1412900b30
15b005660
hex7782876

125315190 has 288 divisors, whose sum is σ = 443978496. Its totient is φ = 23811840.

The previous prime is 125315159. The next prime is 125315219. The reversal of 125315190 is 91513521.

It is a super-2 number, since 2×1253151902 = 31407793689472200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1171117 + ... + 1171223.

It is an arithmetic number, because the mean of its divisors is an integer number (1541592).

Almost surely, 2125315190 is an apocalyptic number.

125315190 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 125315190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221989248).

125315190 is an abundant number, since it is smaller than the sum of its proper divisors (318663306).

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

125315190 is a wasteful number, since it uses less digits than its factorization.

125315190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 125315190 is about 11194.4267383373. The cubic root of 125315190 is about 500.4199006016.

The spelling of 125315190 in words is "one hundred twenty-five million, three hundred fifteen thousand, one hundred ninety".