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114089088 = 2731991493
BaseRepresentation
bin1101100110011…
…01110010000000
321221200022210210
412303031302000
5213201322323
615153154120
72553512151
oct663156200
9257608723
10114089088
1159444903
123225b940
131a837649
141121b928
15a039293
hex6ccdc80

114089088 has 64 divisors (see below), whose sum is σ = 304776000. Its totient is φ = 37813248.

The previous prime is 114089081. The next prime is 114089099. The reversal of 114089088 is 880980411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (114089081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75670 + ... + 77162.

It is an arithmetic number, because the mean of its divisors is an integer number (4762125).

Almost surely, 2114089088 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 114089088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152388000).

114089088 is an abundant number, since it is smaller than the sum of its proper divisors (190686912).

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

114089088 is a wasteful number, since it uses less digits than its factorization.

114089088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1709 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 39.

The square root of 114089088 is about 10681.2493651258. The cubic root of 114089088 is about 485.0070328806.

The spelling of 114089088 in words is "one hundred fourteen million, eighty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 199 384 398 597 796 1194 1493 1592 2388 2986 3184 4479 4776 5972 6368 8958 9552 11944 12736 17916 19104 23888 25472 35832 38208 47776 71664 76416 95552 143328 191104 286656 297107 573312 594214 891321 1188428 1782642 2376856 3565284 4753712 7130568 9507424 14261136 19014848 28522272 38029696 57044544 114089088