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114125706 = 23359113317
BaseRepresentation
bin1101100110101…
…10101110001010
321221202012001000
412303112232022
5213204010311
615154035430
72554024002
oct663265612
9257665030
10114125706
115946a372
1232278b76
131a84b206
141122b002
15a045056
hex6cd6b8a

114125706 has 64 divisors (see below), whose sum is σ = 261014400. Its totient is φ = 36949248.

The previous prime is 114125699. The next prime is 114125717. The reversal of 114125706 is 607521411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 114125706.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 359860 + ... + 360176.

It is an arithmetic number, because the mean of its divisors is an integer number (4078350).

Almost surely, 2114125706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114125706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130507200).

114125706 is an abundant number, since it is smaller than the sum of its proper divisors (146888694).

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

114125706 is a wasteful number, since it uses less digits than its factorization.

114125706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 114125706 is about 10682.9633529279. The cubic root of 114125706 is about 485.0589165682.

The spelling of 114125706 in words is "one hundred fourteen million, one hundred twenty-five thousand, seven hundred six".

Divisors: 1 2 3 6 9 18 27 54 59 113 118 177 226 317 339 354 531 634 678 951 1017 1062 1593 1902 2034 2853 3051 3186 5706 6102 6667 8559 13334 17118 18703 20001 35821 37406 40002 56109 60003 71642 107463 112218 120006 168327 180009 214926 322389 336654 360018 504981 644778 967167 1009962 1934334 2113439 4226878 6340317 12680634 19020951 38041902 57062853 114125706