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130980736 = 277912953
BaseRepresentation
bin1111100111010…
…01101110000000
3100010110111210101
413303221232000
5232012340421
620555212144
73150214015
oct763515600
9303414711
10130980736
1167a31847
1237a47054
132119ccc3
141357770c
15b774191
hex7ce9b80

130980736 has 32 divisors (see below), whose sum is σ = 264261600. Its totient is φ = 64656384.

The previous prime is 130980721. The next prime is 130980757. The reversal of 130980736 is 637089031.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 130980695 and 130980704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3636 + ... + 16588.

It is an arithmetic number, because the mean of its divisors is an integer number (8258175).

Almost surely, 2130980736 is an apocalyptic number.

130980736 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 130980736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132130800).

130980736 is an abundant number, since it is smaller than the sum of its proper divisors (133280864).

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

130980736 is an equidigital number, since it uses as much as digits as its factorization.

130980736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13046 (or 13034 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 130980736 is about 11444.6815595717. The cubic root of 130980736 is about 507.8504116567.

The spelling of 130980736 in words is "one hundred thirty million, nine hundred eighty thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 79 128 158 316 632 1264 2528 5056 10112 12953 25906 51812 103624 207248 414496 828992 1023287 1657984 2046574 4093148 8186296 16372592 32745184 65490368 130980736