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130631640 = 23352414517
BaseRepresentation
bin1111100100101…
…00011111011000
3100002210202220220
413302110133120
5231420203030
620543520040
73144231156
oct762243730
9302722826
10130631640
1167813537
12378b9020
13210aa139
14134c63d6
15b705a10
hex7c947d8

130631640 has 64 divisors (see below), whose sum is σ = 393608160. Its totient is φ = 34682880.

The previous prime is 130631629. The next prime is 130631663. The reversal of 130631640 is 46136031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 130631640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26662 + ... + 31178.

Almost surely, 2130631640 is an apocalyptic number.

130631640 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 130631640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196804080).

130631640 is an abundant number, since it is smaller than the sum of its proper divisors (262976520).

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

130631640 is a wasteful number, since it uses less digits than its factorization.

130631640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4772 (or 4768 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 130631640 is about 11429.4199327875. The cubic root of 130631640 is about 507.3988279804.

Adding to 130631640 its reverse (46136031), we get a palindrome (176767671).

The spelling of 130631640 in words is "one hundred thirty million, six hundred thirty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 241 482 723 964 1205 1446 1928 2410 2892 3615 4517 4820 5784 7230 9034 9640 13551 14460 18068 22585 27102 28920 36136 45170 54204 67755 90340 108408 135510 180680 271020 542040 1088597 2177194 3265791 4354388 5442985 6531582 8708776 10885970 13063164 16328955 21771940 26126328 32657910 43543880 65315820 130631640