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114169008 = 24317181773
BaseRepresentation
bin1101100111000…
…01010010110000
321221211101102210
412303201102300
5213211402013
615155012120
72554264152
oct663412260
9257741383
10114169008
1159499958
123229a040
131a864b35
141123cad2
15a052cc3
hex6ce14b0

114169008 has 80 divisors (see below), whose sum is σ = 314417376. Its totient is φ = 35573760.

The previous prime is 114168947. The next prime is 114169009. The reversal of 114169008 is 800961411.

It is not an unprimeable number, because it can be changed into a prime (114169009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147310 + ... + 148082.

Almost surely, 2114169008 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 114169008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157208688).

114169008 is an abundant number, since it is smaller than the sum of its proper divisors (200248368).

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

114169008 is a wasteful number, since it uses less digits than its factorization.

114169008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 114169008 is about 10684.9898455731. The cubic root of 114169008 is about 485.1202564305.

The spelling of 114169008 in words is "one hundred fourteen million, one hundred sixty-nine thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 181 204 272 362 408 543 724 773 816 1086 1448 1546 2172 2319 2896 3077 3092 4344 4638 6154 6184 8688 9231 9276 12308 12368 13141 18462 18552 24616 26282 36924 37104 39423 49232 52564 73848 78846 105128 139913 147696 157692 210256 279826 315384 419739 559652 630768 839478 1119304 1678956 2238608 2378521 3357912 4757042 6715824 7135563 9514084 14271126 19028168 28542252 38056336 57084504 114169008