Search a number
-
+
114315804 = 223259107503
BaseRepresentation
bin1101101000001…
…01001000011100
321222002211210200
412310011020130
5213231101204
615202103500
72555445141
oct664051034
9258084720
10114315804
115958a179
123234ab90
131a8b68b5
141127a3c8
15a081539
hex6d0521c

114315804 has 72 divisors (see below), whose sum is σ = 297198720. Its totient is φ = 37035552.

The previous prime is 114315793. The next prime is 114315809. The reversal of 114315804 is 408513411.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114315809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227017 + ... + 227519.

It is an arithmetic number, because the mean of its divisors is an integer number (4127760).

Almost surely, 2114315804 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114315804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148599360).

114315804 is an abundant number, since it is smaller than the sum of its proper divisors (182882916).

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

114315804 is a wasteful number, since it uses less digits than its factorization.

114315804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 114315804 is about 10691.8569013993. The cubic root of 114315804 is about 485.3280863677.

The spelling of 114315804 in words is "one hundred fourteen million, three hundred fifteen thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 59 107 118 177 214 236 321 354 428 503 531 642 708 963 1006 1062 1284 1509 1926 2012 2124 3018 3852 4527 6036 6313 9054 12626 18108 18939 25252 29677 37878 53821 56817 59354 75756 89031 107642 113634 118708 161463 178062 215284 227268 267093 322926 356124 484389 534186 645852 968778 1068372 1937556 3175439 6350878 9526317 12701756 19052634 28578951 38105268 57157902 114315804