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130776948 = 22324577949
BaseRepresentation
bin1111100101101…
…11111101110100
3100010002011020200
413302313331310
5231434330243
620551000500
73145404621
oct762677564
9303064220
10130776948
1167902725
1237969130
132112b313
1413523348
15b733ad3
hex7cb7f74

130776948 has 36 divisors (see below), whose sum is σ = 331340100. Its totient is φ = 43491456.

The previous prime is 130776929. The next prime is 130776949. The reversal of 130776948 is 849677031.

It can be written as a sum of positive squares in 2 ways, for example, as 90098064 + 40678884 = 9492^2 + 6378^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1307769482 = 34205220256389408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130776949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12478 + ... + 20426.

Almost surely, 2130776948 is an apocalyptic number.

130776948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

130776948 is an abundant number, since it is smaller than the sum of its proper divisors (200563152).

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

130776948 is a wasteful number, since it uses less digits than its factorization.

130776948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8416 (or 8411 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 130776948 is about 11435.7749190862. The cubic root of 130776948 is about 507.5868931594.

The spelling of 130776948 in words is "one hundred thirty million, seven hundred seventy-six thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 457 914 1371 1828 2742 4113 5484 7949 8226 15898 16452 23847 31796 47694 71541 95388 143082 286164 3632693 7265386 10898079 14530772 21796158 32694237 43592316 65388474 130776948