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130956740 = 225192511373
BaseRepresentation
bin1111100111000…
…11110111000100
3100010102021212122
413303203313010
5232011103430
620554505112
73150054035
oct763436704
9303367778
10130956740
1167a15812
1237a35198
13211920c5
141356ca8c
15b76bee5
hex7ce3dc4

130956740 has 48 divisors (see below), whose sum is σ = 290848320. Its totient is φ = 49392000.

The previous prime is 130956739. The next prime is 130956743. The reversal of 130956740 is 47659031.

130956740 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×1309567404 (a number of 34 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 130956740.

It is not an unprimeable number, because it can be changed into a prime (130956743) 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, 94694 + ... + 96066.

It is an arithmetic number, because the mean of its divisors is an integer number (6059340).

Almost surely, 2130956740 is an apocalyptic number.

130956740 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 130956740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145424160).

130956740 is an abundant number, since it is smaller than the sum of its proper divisors (159891580).

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

130956740 is a wasteful number, since it uses less digits than its factorization.

130956740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 130956740 is about 11443.6331643408. The cubic root of 130956740 is about 507.8193966054.

The spelling of 130956740 in words is "one hundred thirty million, nine hundred fifty-six thousand, seven hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 251 380 502 1004 1255 1373 2510 2746 4769 5020 5492 6865 9538 13730 19076 23845 26087 27460 47690 52174 95380 104348 130435 260870 344623 521740 689246 1378492 1723115 3446230 6547837 6892460 13095674 26191348 32739185 65478370 130956740