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130660416 = 26321911939
BaseRepresentation
bin1111100100110…
…11100001000000
3100002212020101200
413302123201000
5231422113131
620544301200
73144411105
oct762334100
9302766350
10130660416
1167833117
1237911800
13210ba273
14134d2aac
15b70e2e6
hex7c9b840

130660416 has 84 divisors (see below), whose sum is σ = 394258800. Its totient is φ = 41257728.

The previous prime is 130660403. The next prime is 130660427. The reversal of 130660416 is 614066031.

It is a self number, because there is not a number n which added to its sum of digits gives 130660416.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4975 + ... + 16913.

Almost surely, 2130660416 is an apocalyptic number.

130660416 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 130660416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197129400).

130660416 is an abundant number, since it is smaller than the sum of its proper divisors (263598384).

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

130660416 is a wasteful number, since it uses less digits than its factorization.

130660416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11976 (or 11963 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 130660416 is about 11430.6787200061. The cubic root of 130660416 is about 507.4360824482.

The spelling of 130660416 in words is "one hundred thirty million, six hundred sixty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 456 576 608 684 912 1216 1368 1824 2736 3648 5472 10944 11939 23878 35817 47756 71634 95512 107451 143268 191024 214902 226841 286536 382048 429804 453682 573072 680523 764096 859608 907364 1146144 1361046 1719216 1814728 2041569 2292288 2722092 3438432 3629456 4083138 5444184 6876864 7258912 8166276 10888368 14517824 16332552 21776736 32665104 43553472 65330208 130660416