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130455936 = 27321331281
BaseRepresentation
bin1111100011010…
…01100110000000
3100002110211220100
413301221212000
5231344042221
620540042400
73142600002
oct761514600
9302424810
10130455936
1167703526
1237833400
1321048180
141347c372
15b6bd926
hex7c69980

130455936 has 192 divisors, whose sum is σ = 418803840. Its totient is φ = 38707200.

The previous prime is 130455929. The next prime is 130455953. The reversal of 130455936 is 639554031.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 130455936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 464116 + ... + 464396.

It is an arithmetic number, because the mean of its divisors is an integer number (2181270).

Almost surely, 2130455936 is an apocalyptic number.

130455936 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 130455936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209401920).

130455936 is an abundant number, since it is smaller than the sum of its proper divisors (288347904).

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

130455936 is a wasteful number, since it uses less digits than its factorization.

130455936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 130455936 is about 11421.7308670796. The cubic root of 130455936 is about 507.1712363484.

It can be divided in two parts, 13045 and 5936, that added together give a palindrome (18981).

The spelling of 130455936 in words is "one hundred thirty million, four hundred fifty-five thousand, nine hundred thirty-six".