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130174016 = 2671941373
BaseRepresentation
bin1111100001001…
…00110001000000
3100001221112011212
413300210301000
5231311032031
620530025252
73140314040
oct760446100
9301845155
10130174016
1167530735
1237718228
1320c79a5b
1413407720
15b66512b
hex7c24c40

130174016 has 112 divisors (see below), whose sum is σ = 319186560. Its totient is φ = 51425280.

The previous prime is 130174003. The next prime is 130174021. The reversal of 130174016 is 610471031.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 130173982 and 130174000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 348806 + ... + 349178.

It is an arithmetic number, because the mean of its divisors is an integer number (2849880).

Almost surely, 2130174016 is an apocalyptic number.

130174016 is a gapful number since it is divisible by the number (16) 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 130174016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159593280).

130174016 is an abundant number, since it is smaller than the sum of its proper divisors (189012544).

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

130174016 is a wasteful number, since it uses less digits than its factorization.

130174016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 130174016 is about 11409.3828053931. The cubic root of 130174016 is about 506.8056343953.

The spelling of 130174016 in words is "one hundred thirty million, one hundred seventy-four thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 41 56 64 76 82 112 133 152 164 224 266 287 304 328 373 448 532 574 608 656 746 779 1064 1148 1216 1312 1492 1558 2128 2296 2611 2624 2984 3116 4256 4592 5222 5453 5968 6232 7087 8512 9184 10444 10906 11936 12464 14174 15293 18368 20888 21812 23872 24928 28348 30586 41776 43624 49609 49856 56696 61172 83552 87248 99218 107051 113392 122344 167104 174496 198436 214102 226784 244688 290567 348992 396872 428204 453568 489376 581134 793744 856408 978752 1162268 1587488 1712816 2033969 2324536 3174976 3425632 4067938 4649072 6851264 8135876 9298144 16271752 18596288 32543504 65087008 130174016