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114276960 = 2533573779
BaseRepresentation
bin1101100111110…
…11101001100000
321222000212112000
412303323221200
5213223330320
615201204000
72555223660
oct663735140
9258025460
10114276960
1159562a76
1232330600
131a8a2005
141126a1a0
15a074c90
hex6cfba60

114276960 has 192 divisors, whose sum is σ = 457228800. Its totient is φ = 26113536.

The previous prime is 114276937. The next prime is 114276971. The reversal of 114276960 is 69672411.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28351 + ... + 32129.

It is an arithmetic number, because the mean of its divisors is an integer number (2381400).

Almost surely, 2114276960 is an apocalyptic number.

114276960 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 114276960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228614400).

114276960 is an abundant number, since it is smaller than the sum of its proper divisors (342951840).

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

114276960 is a wasteful number, since it uses less digits than its factorization.

114276960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3810 (or 3796 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 114276960 is about 10690.0402244332. The cubic root of 114276960 is about 485.2731093677.

The spelling of 114276960 in words is "one hundred fourteen million, two hundred seventy-six thousand, nine hundred sixty".