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114075753 = 31119315869
BaseRepresentation
bin1101100110010…
…10100001101001
321221122122111220
412303022201221
5213200411003
615153012253
72553425241
oct663124151
9257578456
10114075753
1159435890
1232254089
131a83155c
1411216b21
15a035353
hex6cca869

114075753 has 32 divisors (see below), whose sum is σ = 180326400. Its totient is φ = 63374400.

The previous prime is 114075749. The next prime is 114075757. The reversal of 114075753 is 357570411.

It is an interprime number because it is at equal distance from previous prime (114075749) and next prime (114075757).

It is not a de Polignac number, because 114075753 - 22 = 114075749 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (114075757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16503 + ... + 22371.

It is an arithmetic number, because the mean of its divisors is an integer number (5635200).

Almost surely, 2114075753 is an apocalyptic number.

It is an amenable number.

114075753 is a deficient number, since it is larger than the sum of its proper divisors (66250647).

114075753 is a wasteful number, since it uses less digits than its factorization.

114075753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5933.

The product of its (nonzero) digits is 14700, while the sum is 33.

The square root of 114075753 is about 10680.6251221546. The cubic root of 114075753 is about 484.9881358915.

The spelling of 114075753 in words is "one hundred fourteen million, seventy-five thousand, seven hundred fifty-three".

Divisors: 1 3 11 19 31 33 57 93 209 341 589 627 1023 1767 5869 6479 17607 19437 64559 111511 181939 193677 334533 545817 1226621 2001329 3456841 3679863 6003987 10370523 38025251 114075753