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114411960 = 233351329281
BaseRepresentation
bin1101101000111…
…00100110111000
321222021201201000
412310130212320
5213242140320
615204125000
72556325365
oct664344670
9258251630
10114411960
1159645443
1232396760
131a91b5b0
14112a346c
15a09ec90
hex6d1c9b8

114411960 has 256 divisors, whose sum is σ = 426384000. Its totient is φ = 27095040.

The previous prime is 114411953. The next prime is 114411971. The reversal of 114411960 is 69114411.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 407020 + ... + 407300.

Almost surely, 2114411960 is an apocalyptic number.

114411960 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 114411960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213192000).

114411960 is an abundant number, since it is smaller than the sum of its proper divisors (311972040).

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

114411960 is a wasteful number, since it uses less digits than its factorization.

114411960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 114411960 is about 10696.3526493847. The cubic root of 114411960 is about 485.4641250936.

The spelling of 114411960 in words is "one hundred fourteen million, four hundred eleven thousand, nine hundred sixty".