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130053140 = 22572513701
BaseRepresentation
bin1111100000001…
…11010000010100
3100001201101100222
413300013100110
5231243200030
620523253512
73136301450
oct760072024
9301641328
10130053140
1167458938
123767a298
1320c36a29
14133b5660
15b63e3e5
hex7c07414

130053140 has 48 divisors (see below), whose sum is σ = 313455744. Its totient is φ = 44400000.

The previous prime is 130053127. The next prime is 130053151. The reversal of 130053140 is 41350031.

It is a congruent number.

It is an unprimeable number.

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, 33290 + ... + 36990.

It is an arithmetic number, because the mean of its divisors is an integer number (6530328).

Almost surely, 2130053140 is an apocalyptic number.

130053140 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 130053140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156727872).

130053140 is an abundant number, since it is smaller than the sum of its proper divisors (183402604).

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

130053140 is a wasteful number, since it uses less digits than its factorization.

130053140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3968 (or 3966 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 130053140 is about 11404.0843560542. The cubic root of 130053140 is about 506.6487172389.

The spelling of 130053140 in words is "one hundred thirty million, fifty-three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 251 502 1004 1255 1757 2510 3514 3701 5020 7028 7402 8785 14804 17570 18505 25907 35140 37010 51814 74020 103628 129535 259070 518140 928951 1857902 3715804 4644755 6502657 9289510 13005314 18579020 26010628 32513285 65026570 130053140