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114048935 = 57111322787
BaseRepresentation
bin1101100110000…
…11111110100111
321221121021201122
412303003332213
5213144031220
615152244155
72553254120
oct663037647
9257537648
10114048935
1159417720
123224065b
131a8222a0
141120b047
15a02c425
hex6cc3fa7

114048935 has 32 divisors (see below), whose sum is σ = 183762432. Its totient is φ = 65623680.

The previous prime is 114048923. The next prime is 114048959. The reversal of 114048935 is 539840411.

It is not a de Polignac number, because 114048935 - 24 = 114048919 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a junction number, because it is equal to n+sod(n) for n = 114048895 and 114048904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6389 + ... + 16398.

It is an arithmetic number, because the mean of its divisors is an integer number (5742576).

Almost surely, 2114048935 is an apocalyptic number.

114048935 is a deficient number, since it is larger than the sum of its proper divisors (69713497).

114048935 is a wasteful number, since it uses less digits than its factorization.

114048935 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22823.

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 114048935 is about 10679.3695974997. The cubic root of 114048935 is about 484.9501277234.

The spelling of 114048935 in words is "one hundred fourteen million, forty-eight thousand, nine hundred thirty-five".

Divisors: 1 5 7 11 13 35 55 65 77 91 143 385 455 715 1001 5005 22787 113935 159509 250657 296231 797545 1253285 1481155 1754599 2073617 3258541 8772995 10368085 16292705 22809787 114048935