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114097968 = 2432811977
BaseRepresentation
bin1101100110011…
…11111100110000
321221200202222200
412303033330300
5213202113333
615153303200
72553550065
oct663177460
9257622880
10114097968
1159450546
1232264b00
131a83b6ba
1411220c6c
15a03bc13
hex6ccff30

114097968 has 60 divisors (see below), whose sum is σ = 320036808. Its totient is φ = 37946880.

The previous prime is 114097913. The next prime is 114097969. The reversal of 114097968 is 869790411.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (114097969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116296 + ... + 117272.

Almost surely, 2114097968 is an apocalyptic number.

114097968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

114097968 is an abundant number, since it is smaller than the sum of its proper divisors (205938840).

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

114097968 is a wasteful number, since it uses less digits than its factorization.

114097968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 114097968 is about 10681.6650387475. The cubic root of 114097968 is about 485.0196158857.

The spelling of 114097968 in words is "one hundred fourteen million, ninety-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 811 977 1622 1954 2433 2931 3244 3908 4866 5862 6488 7299 7816 8793 9732 11724 12976 14598 15632 17586 19464 23448 29196 35172 38928 46896 58392 70344 116784 140688 792347 1584694 2377041 3169388 4754082 6338776 7131123 9508164 12677552 14262246 19016328 28524492 38032656 57048984 114097968