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114523640 = 235711192103
BaseRepresentation
bin1101101001101…
…11110111111000
321222111101220022
412310313313320
5213304224030
615210350012
72560302110
oct664676770
9258441808
10114523640
1159711340
123242b308
131a95a38a
14112d2040
15a0c2de5
hex6d37df8

114523640 has 192 divisors, whose sum is σ = 342351360. Its totient is φ = 33488640.

The previous prime is 114523627. The next prime is 114523667. The reversal of 114523640 is 46325411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1111829 + ... + 1111931.

It is an arithmetic number, because the mean of its divisors is an integer number (1783080).

Almost surely, 2114523640 is an apocalyptic number.

114523640 is a gapful number since it is divisible by the number (10) 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 114523640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171175680).

114523640 is an abundant number, since it is smaller than the sum of its proper divisors (227827720).

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

114523640 is a wasteful number, since it uses less digits than its factorization.

114523640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 114523640 is about 10701.5718471634. The cubic root of 114523640 is about 485.6220310863.

The spelling of 114523640 in words is "one hundred fourteen million, five hundred twenty-three thousand, six hundred forty".