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130963770 = 23357219521
BaseRepresentation
bin1111100111001…
…01100100111010
3100010102122112000
413303211210322
5232011320040
620555001430
73150113400
oct763454472
9303378460
10130963770
1167a20023
1237a39276
1321195372
1413571470
15b76e130
hex7ce593a

130963770 has 192 divisors, whose sum is σ = 428457600. Its totient is φ = 28304640.

The previous prime is 130963769. The next prime is 130963783. The reversal of 130963770 is 77369031.

130963770 is a `hidden beast` number, since 13 + 0 + 9 + 637 + 7 + 0 = 666.

It is a super-2 number, since 2×1309637702 = 34303018105225800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 251110 + ... + 251630.

It is an arithmetic number, because the mean of its divisors is an integer number (2231550).

Almost surely, 2130963770 is an apocalyptic number.

130963770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130963770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214228800).

130963770 is an abundant number, since it is smaller than the sum of its proper divisors (297493830).

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

130963770 is a wasteful number, since it uses less digits than its factorization.

130963770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 36.

The square root of 130963770 is about 11443.9403179150. The cubic root of 130963770 is about 507.8284833376.

The spelling of 130963770 in words is "one hundred thirty million, nine hundred sixty-three thousand, seven hundred seventy".