Search a number
-
+
114626148 = 223713372837
BaseRepresentation
bin1101101010100…
…00111001100100
321222200121111220
412311100321210
5213321014043
615212500340
72561210010
oct665207144
9258617456
10114626148
115978135a
123247a6b0
131a994c30
141131b540
15a0e3483
hex6d50e64

114626148 has 96 divisors (see below), whose sum is σ = 338198784. Its totient is φ = 29403648.

The previous prime is 114626143. The next prime is 114626153. The reversal of 114626148 is 841626411.

It is an interprime number because it is at equal distance from previous prime (114626143) and next prime (114626153).

It is not an unprimeable number, because it can be changed into a prime (114626143) 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, 38986 + ... + 41822.

It is an arithmetic number, because the mean of its divisors is an integer number (3522904).

Almost surely, 2114626148 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 114626148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169099392).

114626148 is an abundant number, since it is smaller than the sum of its proper divisors (223572636).

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

114626148 is a wasteful number, since it uses less digits than its factorization.

114626148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2901 (or 2899 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 114626148 is about 10706.3601658080. The cubic root of 114626148 is about 485.7668783223.

The spelling of 114626148 in words is "one hundred fourteen million, six hundred twenty-six thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 37 39 42 52 74 78 84 91 111 148 156 182 222 259 273 364 444 481 518 546 777 962 1036 1092 1443 1554 1924 2837 2886 3108 3367 5674 5772 6734 8511 10101 11348 13468 17022 19859 20202 34044 36881 39718 40404 59577 73762 79436 104969 110643 119154 147524 209938 221286 238308 258167 314907 419876 442572 516334 629814 734783 774501 1032668 1259628 1364597 1469566 1549002 2204349 2729194 2939132 3098004 4093791 4408698 5458388 8187582 8817396 9552179 16375164 19104358 28656537 38208716 57313074 114626148