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114893964 = 22341013511
BaseRepresentation
bin1101101100100…
…10010010001100
322000012012220000
412312102102030
5213403101324
615222324300
72563403553
oct666222214
9260165800
10114893964
1159944599
1232589690
131aa59ac3
141138ad9a
15a1479c9
hex6d9248c

114893964 has 60 divisors (see below), whose sum is σ = 303415728. Its totient is φ = 37908000.

The previous prime is 114893963. The next prime is 114893981. The reversal of 114893964 is 469398411.

It is not an unprimeable number, because it can be changed into a prime (114893963) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30969 + ... + 34479.

Almost surely, 2114893964 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 114893964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151707864).

114893964 is an abundant number, since it is smaller than the sum of its proper divisors (188521764).

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

114893964 is a wasteful number, since it uses less digits than its factorization.

114893964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3628 (or 3617 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 114893964 is about 10718.8602005997. The cubic root of 114893964 is about 486.1449042081.

The spelling of 114893964 in words is "one hundred fourteen million, eight hundred ninety-three thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 101 108 162 202 303 324 404 606 909 1212 1818 2727 3511 3636 5454 7022 8181 10533 10908 14044 16362 21066 31599 32724 42132 63198 94797 126396 189594 284391 354611 379188 568782 709222 1063833 1137564 1418444 2127666 3191499 4255332 6382998 9574497 12765996 19148994 28723491 38297988 57446982 114893964