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114588012 = 2237111961107
BaseRepresentation
bin1101101010001…
…11100101101100
321222121200012110
412311013211230
5213313304022
615212004020
72560660560
oct665074554
9258550173
10114588012
1159755740
1232460610
131a980776
141130b6a0
15a0d700c
hex6d4796c

114588012 has 192 divisors, whose sum is σ = 359976960. Its totient is φ = 27475200.

The previous prime is 114587959. The next prime is 114588017. The reversal of 114588012 is 210885411.

It is a happy number.

It is a super-2 number, since 2×1145880122 = 26260824988224288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114588017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1070863 + ... + 1070969.

It is an arithmetic number, because the mean of its divisors is an integer number (1874880).

Almost surely, 2114588012 is an apocalyptic number.

114588012 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 114588012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179988480).

114588012 is an abundant number, since it is smaller than the sum of its proper divisors (245388948).

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

114588012 is a wasteful number, since it uses less digits than its factorization.

114588012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 30.

The square root of 114588012 is about 10704.5790202137. The cubic root of 114588012 is about 485.7130009688.

The spelling of 114588012 in words is "one hundred fourteen million, five hundred eighty-eight thousand, twelve".