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114896088 = 233210315493
BaseRepresentation
bin1101101100100…
…10110011011000
322000012022210200
412312102303120
5213403133323
615222342200
72563413006
oct666226330
9260168720
10114896088
115994614a
123258a960
131aa5aa68
141138ba76
15a148443
hex6d92cd8

114896088 has 48 divisors (see below), whose sum is σ = 314218320. Its totient is φ = 37924416.

The previous prime is 114896083. The next prime is 114896101. The reversal of 114896088 is 880698411.

It is a super-2 number, since 2×1148960882 = 26402222075407488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114896083) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 331 + ... + 15162.

It is an arithmetic number, because the mean of its divisors is an integer number (6546215).

Almost surely, 2114896088 is an apocalyptic number.

114896088 is a gapful number since it is divisible by the number (18) 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 114896088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157109160).

114896088 is an abundant number, since it is smaller than the sum of its proper divisors (199322232).

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

114896088 is a wasteful number, since it uses less digits than its factorization.

114896088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15608 (or 15601 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 114896088 is about 10718.9592778404. The cubic root of 114896088 is about 486.1478999135.

The spelling of 114896088 in words is "one hundred fourteen million, eight hundred ninety-six thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 103 206 309 412 618 824 927 1236 1854 2472 3708 7416 15493 30986 46479 61972 92958 123944 139437 185916 278874 371832 557748 1115496 1595779 3191558 4787337 6383116 9574674 12766232 14362011 19149348 28724022 38298696 57448044 114896088