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130746096 = 24331331751
BaseRepresentation
bin1111100101100…
…00011011110000
3100010000120221000
413302300123300
5231432333341
620550202000
73145215645
oct762603360
9303016830
10130746096
1167891528
1237953300
132111a270
1413515dcc
15b7298b6
hex7cb06f0

130746096 has 160 divisors (see below), whose sum is σ = 417751040. Its totient is φ = 38880000.

The previous prime is 130746067. The next prime is 130746131. The reversal of 130746096 is 690647031.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 130746096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173721 + ... + 174471.

It is an arithmetic number, because the mean of its divisors is an integer number (2610944).

Almost surely, 2130746096 is an apocalyptic number.

130746096 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 130746096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208875520).

130746096 is an abundant number, since it is smaller than the sum of its proper divisors (287004944).

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

130746096 is a wasteful number, since it uses less digits than its factorization.

130746096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 130746096 is about 11434.4259147541. The cubic root of 130746096 is about 507.5469745481.

The spelling of 130746096 in words is "one hundred thirty million, seven hundred forty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 31 36 39 48 52 54 62 72 78 93 104 108 117 124 144 156 186 208 216 234 248 279 312 351 372 403 432 468 496 558 624 702 744 751 806 837 936 1116 1209 1404 1488 1502 1612 1674 1872 2232 2253 2418 2808 3004 3224 3348 3627 4464 4506 4836 5616 6008 6448 6696 6759 7254 9012 9672 9763 10881 12016 13392 13518 14508 18024 19344 19526 20277 21762 23281 27036 29016 29289 36048 39052 40554 43524 46562 54072 58032 58578 69843 78104 81108 87048 87867 93124 108144 117156 139686 156208 162216 174096 175734 186248 209529 234312 263601 279372 302653 324432 351468 372496 419058 468624 527202 558744 605306 628587 702936 838116 907959 1054404 1117488 1210612 1257174 1405872 1676232 1815918 2108808 2421224 2514348 2723877 3352464 3631836 4217616 4842448 5028696 5447754 7263672 8171631 10057392 10895508 14527344 16343262 21791016 32686524 43582032 65373048 130746096