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130062880 = 2552413373
BaseRepresentation
bin1111100000010…
…01101000100000
3100001201212201201
413300021220200
5231244003010
620523410544
73136342033
oct760115040
9301655651
10130062880
1167465192
1237683a54
1320c3b2ac
14133b901a
15b64223a
hex7c09a20

130062880 has 48 divisors (see below), whose sum is σ = 308640024. Its totient is φ = 51793920.

The previous prime is 130062871. The next prime is 130062913. The reversal of 130062880 is 88260031.

130062880 = T483 + T484 + ... + T962.

It can be written as a sum of positive squares in 4 ways, for example, as 130051216 + 11664 = 11404^2 + 108^2 .

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, 36874 + ... + 40246.

Almost surely, 2130062880 is an apocalyptic number.

130062880 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 130062880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154320012).

130062880 is an abundant number, since it is smaller than the sum of its proper divisors (178577144).

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

130062880 is a wasteful number, since it uses less digits than its factorization.

130062880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3629 (or 3621 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 130062880 is about 11404.5113880429. The cubic root of 130062880 is about 506.6613649799.

The spelling of 130062880 in words is "one hundred thirty million, sixty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 241 482 964 1205 1928 2410 3373 3856 4820 6746 7712 9640 13492 16865 19280 26984 33730 38560 53968 67460 107936 134920 269840 539680 812893 1625786 3251572 4064465 6503144 8128930 13006288 16257860 26012576 32515720 65031440 130062880