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114091936 = 2574710837
BaseRepresentation
bin1101100110011…
…10011110100000
321221200110201021
412303032132200
5213201420221
615153215224
72553523360
oct663163640
9257613637
10114091936
1159446a62
1232261514
131a838a2a
141121c9a0
15a03a041
hex6cce7a0

114091936 has 48 divisors (see below), whose sum is σ = 262192896. Its totient is φ = 47851776.

The previous prime is 114091933. The next prime is 114091949. The reversal of 114091936 is 639190411.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (114091933) 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, 5110 + ... + 15946.

It is an arithmetic number, because the mean of its divisors is an integer number (5462352).

Almost surely, 2114091936 is an apocalyptic number.

114091936 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 114091936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131096448).

114091936 is an abundant number, since it is smaller than the sum of its proper divisors (148100960).

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

114091936 is a wasteful number, since it uses less digits than its factorization.

114091936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10901 (or 10893 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 34.

The square root of 114091936 is about 10681.3826820314. The cubic root of 114091936 is about 485.0110685822.

The spelling of 114091936 in words is "one hundred fourteen million, ninety-one thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 94 112 188 224 329 376 658 752 1316 1504 2632 5264 10528 10837 21674 43348 75859 86696 151718 173392 303436 346784 509339 606872 1018678 1213744 2037356 2427488 3565373 4074712 7130746 8149424 14261492 16298848 28522984 57045968 114091936