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114605007 = 31117281727
BaseRepresentation
bin1101101010010…
…11101111001111
321222122112111220
412311023233033
5213314330012
615212214423
72561061246
oct665135717
9258575456
10114605007
1159767490
123246a413
131a98841a
141131395d
15a0dc08c
hex6d4bbcf

114605007 has 32 divisors (see below), whose sum is σ = 177375744. Its totient is φ = 65049600.

The previous prime is 114604999. The next prime is 114605039. The reversal of 114605007 is 700506411.

It is not a de Polignac number, because 114605007 - 23 = 114604999 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114605077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157278 + ... + 158004.

It is an arithmetic number, because the mean of its divisors is an integer number (5542992).

Almost surely, 2114605007 is an apocalyptic number.

114605007 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

114605007 is a deficient number, since it is larger than the sum of its proper divisors (62770737).

114605007 is a wasteful number, since it uses less digits than its factorization.

114605007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039.

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 114605007 is about 10705.3728099492. The cubic root of 114605007 is about 485.7370124520.

The spelling of 114605007 in words is "one hundred fourteen million, six hundred five thousand, seven".

Divisors: 1 3 11 17 33 51 187 281 561 727 843 2181 3091 4777 7997 9273 12359 14331 23991 37077 52547 135949 157641 204287 407847 612861 2247157 3472879 6741471 10418637 38201669 114605007