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130826000 = 245365413
BaseRepresentation
bin1111100110000…
…11111100010000
3100010011122112102
413303003330100
5231442413000
620552015532
73146000624
oct763037420
9303148472
10130826000
1167936568
12379915a8
1321147746
1413537184
15b7433d5
hex7cc3f10

130826000 has 40 divisors (see below), whose sum is σ = 316342104. Its totient is φ = 52329600.

The previous prime is 130825997. The next prime is 130826027. The reversal of 130826000 is 628031.

It can be written as a sum of positive squares in 4 ways, for example, as 14531344 + 116294656 = 3812^2 + 10784^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30707 + ... + 34706.

Almost surely, 2130826000 is an apocalyptic number.

130826000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130826000 is an abundant number, since it is smaller than the sum of its proper divisors (185516104).

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

130826000 is an equidigital number, since it uses as much as digits as its factorization.

130826000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65436 (or 65420 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 130826000 is about 11437.9193912180. The cubic root of 130826000 is about 507.6503473597.

The spelling of 130826000 in words is "one hundred thirty million, eight hundred twenty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 65413 130826 261652 327065 523304 654130 1046608 1308260 1635325 2616520 3270650 5233040 6541300 8176625 13082600 16353250 26165200 32706500 65413000 130826000