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116456088 = 23373159379
BaseRepresentation
bin1101111000011…
…11101010011000
322010010120201110
412330033222120
5214303043323
615320020320
72612601060
oct674175230
9263116643
10116456088
115a811201
12330016a0
131b185b38
14116763a0
15a355793
hex6f0fa98

116456088 has 128 divisors (see below), whose sum is σ = 350208000. Its totient is φ = 31570560.

The previous prime is 116456077. The next prime is 116456089. The reversal of 116456088 is 880654611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116456089) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307083 + ... + 307461.

It is an arithmetic number, because the mean of its divisors is an integer number (2736000).

Almost surely, 2116456088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116456088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175104000).

116456088 is an abundant number, since it is smaller than the sum of its proper divisors (233751912).

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

116456088 is a wasteful number, since it uses less digits than its factorization.

116456088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 116456088 is about 10791.4821966216. The cubic root of 116456088 is about 488.3382385894.

The spelling of 116456088 in words is "one hundred sixteen million, four hundred fifty-six thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 59 62 84 93 118 124 168 177 186 217 236 248 354 372 379 413 434 472 651 708 744 758 826 868 1137 1239 1302 1416 1516 1652 1736 1829 2274 2478 2604 2653 3032 3304 3658 4548 4956 5208 5306 5487 7316 7959 9096 9912 10612 10974 11749 12803 14632 15918 21224 21948 22361 23498 25606 31836 35247 38409 43896 44722 46996 51212 63672 67083 70494 76818 82243 89444 93992 102424 134166 140988 153636 156527 164486 178888 246729 268332 281976 307272 313054 328972 469581 493458 536664 626108 657944 693191 939162 986916 1252216 1386382 1878324 1973832 2079573 2772764 3756648 4159146 4852337 5545528 8318292 9704674 14557011 16636584 19409348 29114022 38818696 58228044 116456088