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114769956 = 223721910273
BaseRepresentation
bin1101101011101…
…00000000100100
321222221220210010
412311310000210
5213340114311
615215530220
72562346200
oct665640044
9258856703
10114769956
115986a404
1232529970
131aa15522
1411357b00
15a120da6
hex6d74024

114769956 has 72 divisors (see below), whose sum is σ = 327946080. Its totient is φ = 31062528.

The previous prime is 114769939. The next prime is 114769957. The reversal of 114769956 is 659967411.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (114769957) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6036 + ... + 16308.

Almost surely, 2114769956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114769956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163973040).

114769956 is an abundant number, since it is smaller than the sum of its proper divisors (213176124).

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

114769956 is a wasteful number, since it uses less digits than its factorization.

114769956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10313 (or 10304 counting only the distinct ones).

The product of its digits is 408240, while the sum is 48.

The square root of 114769956 is about 10713.0740686322. The cubic root of 114769956 is about 485.9699383597.

The spelling of 114769956 in words is "one hundred fourteen million, seven hundred sixty-nine thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 76 84 98 114 133 147 196 228 266 294 399 532 588 798 931 1596 1862 2793 3724 5586 10273 11172 20546 30819 41092 61638 71911 123276 143822 195187 215733 287644 390374 431466 503377 585561 780748 862932 1006754 1171122 1366309 1510131 2013508 2342244 2732618 3020262 4098927 5465236 6040524 8197854 9564163 16395708 19128326 28692489 38256652 57384978 114769956