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114967974 = 231117195393
BaseRepresentation
bin1101101101001…
…00010110100110
322000022222102010
412312210112212
5213412433344
615224055050
72564132412
oct666442646
9260288363
10114967974
1159995160
1232604486
131aa846b4
14113a9d42
15a15e8b9
hex6da45a6

114967974 has 64 divisors (see below), whose sum is σ = 279624960. Its totient is φ = 31057920.

The previous prime is 114967967. The next prime is 114967999. The reversal of 114967974 is 479769411.

It is a Curzon number.

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, 18622 + ... + 24014.

It is an arithmetic number, because the mean of its divisors is an integer number (4369140).

Almost surely, 2114967974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114967974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139812480).

114967974 is an abundant number, since it is smaller than the sum of its proper divisors (164656986).

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

114967974 is a wasteful number, since it uses less digits than its factorization.

114967974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5445.

The product of its digits is 381024, while the sum is 48.

The square root of 114967974 is about 10722.3119708391. The cubic root of 114967974 is about 486.2492667012.

The spelling of 114967974 in words is "one hundred fourteen million, nine hundred sixty-seven thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 11 17 19 22 33 34 38 51 57 66 102 114 187 209 323 374 418 561 627 646 969 1122 1254 1938 3553 5393 7106 10659 10786 16179 21318 32358 59323 91681 102467 118646 177969 183362 204934 275043 307401 355938 550086 614802 1008491 1127137 1741939 2016982 2254274 3025473 3381411 3483878 5225817 6050946 6762822 10451634 19161329 38322658 57483987 114967974