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130375700 = 225271314327
BaseRepresentation
bin1111100010101…
…10000000010100
3100002022202211122
413301112000110
5231334010300
620534223112
73142114040
oct761260024
9302282748
10130375700
1167659214
12377b4a98
132101a7b0
141345b020
15b6a4c85
hex7c56014

130375700 has 72 divisors (see below), whose sum is σ = 348227712. Its totient is φ = 41258880.

The previous prime is 130375643. The next prime is 130375711. The reversal of 130375700 is 7573031.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 130375700.

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 23 ways as a sum of consecutive naturals, for example, 1937 + ... + 16263.

It is an arithmetic number, because the mean of its divisors is an integer number (4836496).

Almost surely, 2130375700 is an apocalyptic number.

130375700 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 130375700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174113856).

130375700 is an abundant number, since it is smaller than the sum of its proper divisors (217852012).

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

130375700 is a wasteful number, since it uses less digits than its factorization.

130375700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14361 (or 14354 counting only the distinct ones).

The product of its (nonzero) digits is 2205, while the sum is 26.

The square root of 130375700 is about 11418.2178994798. The cubic root of 130375700 is about 507.0672376647.

The spelling of 130375700 in words is "one hundred thirty million, three hundred seventy-five thousand, seven hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1820 2275 4550 9100 14327 28654 57308 71635 100289 143270 186251 200578 286540 358175 372502 401156 501445 716350 745004 931255 1002890 1303757 1432700 1862510 2005780 2507225 2607514 3725020 4656275 5014450 5215028 6518785 9312550 10028900 13037570 18625100 26075140 32593925 65187850 130375700