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130878080 = 2751947229
BaseRepresentation
bin1111100110100…
…00101010000000
3100010021021222022
413303100222000
5232001044310
620553101012
73146305514
oct763205200
9303237868
10130878080
1167971703
12379b7768
1321165368
141354c144
15b753a55
hex7cd0a80

130878080 has 128 divisors (see below), whose sum is σ = 337824000. Its totient is φ = 48328704.

The previous prime is 130878047. The next prime is 130878089. The reversal of 130878080 is 80878031.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 130878080.

It is not an unprimeable number, because it can be changed into a prime (130878089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 571406 + ... + 571634.

It is an arithmetic number, because the mean of its divisors is an integer number (2639250).

Almost surely, 2130878080 is an apocalyptic number.

130878080 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 130878080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168912000).

130878080 is an abundant number, since it is smaller than the sum of its proper divisors (206945920).

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

130878080 is a wasteful number, since it uses less digits than its factorization.

130878080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 35.

The square root of 130878080 is about 11440.1958025202. The cubic root of 130878080 is about 507.7177012563.

The spelling of 130878080 in words is "one hundred thirty million, eight hundred seventy-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 47 64 76 80 94 95 128 152 160 188 190 229 235 304 320 376 380 458 470 608 640 752 760 893 916 940 1145 1216 1504 1520 1786 1832 1880 2290 2432 3008 3040 3572 3664 3760 4351 4465 4580 6016 6080 7144 7328 7520 8702 8930 9160 10763 12160 14288 14656 15040 17404 17860 18320 21526 21755 28576 29312 30080 34808 35720 36640 43052 43510 53815 57152 69616 71440 73280 86104 87020 107630 114304 139232 142880 146560 172208 174040 204497 215260 278464 285760 344416 348080 408994 430520 556928 571520 688832 696160 817988 861040 1022485 1377664 1392320 1635976 1722080 2044970 2784640 3271952 3444160 4089940 6543904 6888320 8179880 13087808 16359760 26175616 32719520 65439040 130878080