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130667040 = 25335729149
BaseRepresentation
bin1111100100111…
…01001000100000
3100002212120111000
413302131020200
5231422321130
620544352000
73144436320
oct762351040
9302776430
10130667040
1167838099
1237915600
13210c029a
14134d5280
15b711260
hex7c9d220

130667040 has 384 divisors, whose sum is σ = 544320000. Its totient is φ = 28643328.

The previous prime is 130667029. The next prime is 130667081. The reversal of 130667040 is 40766031.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 130666995 and 130667013.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 876886 + ... + 877034.

It is an arithmetic number, because the mean of its divisors is an integer number (1417500).

Almost surely, 2130667040 is an apocalyptic number.

130667040 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 130667040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272160000).

130667040 is an abundant number, since it is smaller than the sum of its proper divisors (413652960).

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

130667040 is a wasteful number, since it uses less digits than its factorization.

130667040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 130667040 is about 11430.9684629081. The cubic root of 130667040 is about 507.4446573477. Note that the first 3 decimals are identical.

The spelling of 130667040 in words is "one hundred thirty million, six hundred sixty-seven thousand, forty".