Search a number
-
+
114333504 = 2635910093
BaseRepresentation
bin1101101000010…
…01011101000000
321222010202002020
412310021131000
5213232133004
615202321440
72555550555
oct664113500
9258122066
10114333504
11595a14aa
1232359280
131a8c197c
1411282a2c
15a0868d9
hex6d09740

114333504 has 56 divisors (see below), whose sum is σ = 307665120. Its totient is φ = 37461504.

The previous prime is 114333503. The next prime is 114333509. The reversal of 114333504 is 405333411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114333503) 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 7 ways as a sum of consecutive naturals, for example, 6282 + ... + 16374.

It is an arithmetic number, because the mean of its divisors is an integer number (5494020).

Almost surely, 2114333504 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 114333504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153832560).

114333504 is an abundant number, since it is smaller than the sum of its proper divisors (193331616).

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

114333504 is a wasteful number, since it uses less digits than its factorization.

114333504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10167 (or 10157 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 114333504 is about 10692.6846021006. The cubic root of 114333504 is about 485.3531335426.

Adding to 114333504 its reverse (405333411), we get a palindrome (519666915).

The spelling of 114333504 in words is "one hundred fourteen million, three hundred thirty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 177 192 236 354 472 708 944 1416 1888 2832 3776 5664 10093 11328 20186 30279 40372 60558 80744 121116 161488 242232 322976 484464 595487 645952 968928 1190974 1786461 1937856 2381948 3572922 4763896 7145844 9527792 14291688 19055584 28583376 38111168 57166752 114333504