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130236336 = 2435194143
BaseRepresentation
bin1111100001100…
…11111110110000
3100002001200200000
413300303332300
5231320030321
620531230000
73140663526
oct760637660
9302050600
10130236336
116757353a
1237748300
1320c9c229
1413422316
15b678826
hex7c33fb0

130236336 has 240 divisors, whose sum is σ = 417056640. Its totient is φ = 39191040.

The previous prime is 130236329. The next prime is 130236347. The reversal of 130236336 is 633632031.

130236336 = T273 + T274 + ... + T928.

130236336 is a `hidden beast` number, since 1 + 3 + 0 + 23 + 633 + 6 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3028731 + ... + 3028773.

It is an arithmetic number, because the mean of its divisors is an integer number (1737736).

Almost surely, 2130236336 is an apocalyptic number.

130236336 is a gapful number since it is divisible by the number (16) 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 130236336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208528320).

130236336 is an abundant number, since it is smaller than the sum of its proper divisors (286820304).

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

130236336 is a wasteful number, since it uses less digits than its factorization.

130236336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The square root of 130236336 is about 11412.1135641037. The cubic root of 130236336 is about 506.8864981734.

Adding to 130236336 its reverse (633632031), we get a palindrome (763868367).

The spelling of 130236336 in words is "one hundred thirty million, two hundred thirty-six thousand, three hundred thirty-six".