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114072294 = 23721033767
BaseRepresentation
bin1101100110010…
…01101011100110
321221122110202210
412303021223212
5213200303134
615152544250
72553412200
oct663115346
9257573683
10114072294
1159433226
1232252086
131a82cacb
1411215770
15a0342e9
hex6cc9ae6

114072294 has 48 divisors (see below), whose sum is σ = 268040448. Its totient is φ = 32267088.

The previous prime is 114072293. The next prime is 114072307. The reversal of 114072294 is 492270411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114072293) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28399 + ... + 32165.

It is an arithmetic number, because the mean of its divisors is an integer number (5584176).

Almost surely, 2114072294 is an apocalyptic number.

114072294 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114072294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134020224).

114072294 is an abundant number, since it is smaller than the sum of its proper divisors (153968154).

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

114072294 is a wasteful number, since it uses less digits than its factorization.

114072294 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3889 (or 3882 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 114072294 is about 10680.4631922029. The cubic root of 114072294 is about 484.9832339122.

The spelling of 114072294 in words is "one hundred fourteen million, seventy-two thousand, two hundred ninety-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 103 147 206 294 309 618 721 1442 2163 3767 4326 5047 7534 10094 11301 15141 22602 26369 30282 52738 79107 158214 184583 369166 388001 553749 776002 1107498 1164003 2328006 2716007 5432014 8148021 16296042 19012049 38024098 57036147 114072294