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130080192 = 26311173623
BaseRepresentation
bin1111100000011…
…01110111000000
3100001202202110220
413300031313000
5231300031232
620524023040
73136443354
oct760156700
9301682426
10130080192
11674771a0
1237691a80
1320c46138
14133c1464
15b64742c
hex7c0ddc0

130080192 has 112 divisors (see below), whose sum is σ = 397654272. Its totient is φ = 37089280.

The previous prime is 130080187. The next prime is 130080199. The reversal of 130080192 is 291080031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130080199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34093 + ... + 37715.

Almost surely, 2130080192 is an apocalyptic number.

130080192 is a gapful number since it is divisible by the number (12) 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 130080192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198827136).

130080192 is an abundant number, since it is smaller than the sum of its proper divisors (267574080).

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

130080192 is a wasteful number, since it uses less digits than its factorization.

130080192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3666 (or 3656 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 130080192 is about 11405.2703606710. The cubic root of 130080192 is about 506.6838436774.

The spelling of 130080192 in words is "one hundred thirty million, eighty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 102 132 136 176 187 192 204 264 272 352 374 408 528 544 561 704 748 816 1056 1088 1122 1496 1632 2112 2244 2992 3264 3623 4488 5984 7246 8976 10869 11968 14492 17952 21738 28984 35904 39853 43476 57968 61591 79706 86952 115936 119559 123182 159412 173904 184773 231872 239118 246364 318824 347808 369546 478236 492728 637648 677501 695616 739092 956472 985456 1275296 1355002 1478184 1912944 1970912 2032503 2550592 2710004 2956368 3825888 3941824 4065006 5420008 5912736 7651776 8130012 10840016 11825472 16260024 21680032 32520048 43360064 65040096 130080192