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116130432 = 27311191447
BaseRepresentation
bin1101110110000…
…00001010000000
322002112001000010
412323000022000
5214212133212
615305024520
72610043455
oct673001200
9262461003
10116130432
115a609570
1232a85140
131b0a0842
14115cd82c
15a2de03c
hex6ec0280

116130432 has 128 divisors (see below), whose sum is σ = 354470400. Its totient is φ = 33315840.

The previous prime is 116130419. The next prime is 116130449. The reversal of 116130432 is 234031611.

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

It is a junction number, because it is equal to n+sod(n) for n = 116130399 and 116130408.

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, 79533 + ... + 80979.

It is an arithmetic number, because the mean of its divisors is an integer number (2769300).

Almost surely, 2116130432 is an apocalyptic number.

116130432 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 116130432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177235200).

116130432 is an abundant number, since it is smaller than the sum of its proper divisors (238339968).

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

116130432 is a wasteful number, since it uses less digits than its factorization.

116130432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 116130432 is about 10776.3830666880. The cubic root of 116130432 is about 487.8826198021.

The spelling of 116130432 in words is "one hundred sixteen million, one hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 114 128 132 152 176 192 209 228 264 304 352 384 418 456 528 608 627 704 836 912 1056 1216 1254 1408 1447 1672 1824 2112 2432 2508 2894 3344 3648 4224 4341 5016 5788 6688 7296 8682 10032 11576 13376 15917 17364 20064 23152 26752 27493 31834 34728 40128 46304 47751 54986 63668 69456 80256 82479 92608 95502 109972 127336 138912 164958 185216 191004 219944 254672 277824 302423 329916 382008 439888 509344 555648 604846 659832 764016 879776 907269 1018688 1209692 1319664 1528032 1759552 1814538 2037376 2419384 2639328 3056064 3519104 3629076 4838768 5278656 6112128 7258152 9677536 10557312 14516304 19355072 29032608 38710144 58065216 116130432