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114052992 = 2732291297
BaseRepresentation
bin1101100110001…
…00111110000000
321221121111021220
412303010332000
5213144143432
615152315040
72553302004
oct663047600
9257544256
10114052992
115941a779
1232242a80
131a8240a1
141120c704
15a02d72c
hex6cc4f80

114052992 has 64 divisors (see below), whose sum is σ = 304510800. Its totient is φ = 37822464.

The previous prime is 114052963. The next prime is 114052997. The reversal of 114052992 is 299250411.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114052997) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87288 + ... + 88584.

Almost surely, 2114052992 is an apocalyptic number.

114052992 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 114052992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152255400).

114052992 is an abundant number, since it is smaller than the sum of its proper divisors (190457808).

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

114052992 is a wasteful number, since it uses less digits than its factorization.

114052992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1543 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 114052992 is about 10679.5595414792. The cubic root of 114052992 is about 484.9558779432.

The spelling of 114052992 in words is "one hundred fourteen million, fifty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 229 384 458 687 916 1297 1374 1832 2594 2748 3664 3891 5188 5496 7328 7782 10376 10992 14656 15564 20752 21984 29312 31128 41504 43968 62256 83008 87936 124512 166016 249024 297013 498048 594026 891039 1188052 1782078 2376104 3564156 4752208 7128312 9504416 14256624 19008832 28513248 38017664 57026496 114052992