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114321056 = 2517316779
BaseRepresentation
bin1101101000001…
…10011010100000
321222010010000012
412310012122200
5213231233211
615202144052
72555466353
oct664063240
9258103005
10114321056
1159593113
1232352028
131a8b90c5
141127c29a
15a082d8b
hex6d066a0

114321056 has 48 divisors (see below), whose sum is σ = 246032640. Its totient is φ = 52055040.

The previous prime is 114321049. The next prime is 114321071. The reversal of 114321056 is 650123411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13475 + ... + 20253.

It is an arithmetic number, because the mean of its divisors is an integer number (5125680).

Almost surely, 2114321056 is an apocalyptic number.

114321056 is a gapful number since it is divisible by the number (16) 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 114321056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123016320).

114321056 is an abundant number, since it is smaller than the sum of its proper divisors (131711584).

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

114321056 is a wasteful number, since it uses less digits than its factorization.

114321056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6837 (or 6829 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 114321056 is about 10692.1025060556. The cubic root of 114321056 is about 485.3355187144.

Adding to 114321056 its reverse (650123411), we get a palindrome (764444467).

The spelling of 114321056 in words is "one hundred fourteen million, three hundred twenty-one thousand, fifty-six".

Divisors: 1 2 4 8 16 17 31 32 34 62 68 124 136 248 272 496 527 544 992 1054 2108 4216 6779 8432 13558 16864 27116 54232 108464 115243 210149 216928 230486 420298 460972 840596 921944 1681192 1843888 3362384 3572533 3687776 6724768 7145066 14290132 28580264 57160528 114321056