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130437140 = 225231032753
BaseRepresentation
bin1111100011001…
…01000000010100
3100002102220010012
413301211000110
5231342442030
620535415352
73142461131
oct761450024
9302386105
10130437140
11676a0399
1237824558
132103c752
1413475588
15b6b8095
hex7c65014

130437140 has 48 divisors (see below), whose sum is σ = 288707328. Its totient is φ = 49403904.

The previous prime is 130437127. The next prime is 130437149. The reversal of 130437140 is 41734031.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130437149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46004 + ... + 48756.

It is an arithmetic number, because the mean of its divisors is an integer number (6014736).

Almost surely, 2130437140 is an apocalyptic number.

130437140 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 130437140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144353664).

130437140 is an abundant number, since it is smaller than the sum of its proper divisors (158270188).

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

130437140 is a wasteful number, since it uses less digits than its factorization.

130437140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2888 (or 2886 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 130437140 is about 11420.9080199431. The cubic root of 130437140 is about 507.1468775529.

The spelling of 130437140 in words is "one hundred thirty million, four hundred thirty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 103 115 206 230 412 460 515 1030 2060 2369 2753 4738 5506 9476 11012 11845 13765 23690 27530 47380 55060 63319 126638 253276 283559 316595 567118 633190 1134236 1266380 1417795 2835590 5671180 6521857 13043714 26087428 32609285 65218570 130437140