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114327612 = 223771867
BaseRepresentation
bin1101101000010…
…00000000111100
321222010110000000
412310020000330
5213231440422
615202234300
72555524440
oct664100074
9258113000
10114327612
1159598033
1232355990
131a8bc099
1411280820
15a084cac
hex6d0803c

114327612 has 96 divisors (see below), whose sum is σ = 343114240. Its totient is φ = 32647536.

The previous prime is 114327611. The next prime is 114327613. The reversal of 114327612 is 216723411.

114327612 is a `hidden beast` number, since 1 + 1 + 43 + 2 + 7 + 612 = 666.

It is an interprime number because it is at equal distance from previous prime (114327611) and next prime (114327613).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114327611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60303 + ... + 62169.

Almost surely, 2114327612 is an apocalyptic number.

114327612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114327612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171557120).

114327612 is an abundant number, since it is smaller than the sum of its proper divisors (228786628).

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

114327612 is an equidigital number, since it uses as much as digits as its factorization.

114327612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1899 (or 1879 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 114327612 is about 10692.4090830832. The cubic root of 114327612 is about 485.3447960921.

It can be divided in two parts, 11432 and 7612, that added together give a square (19044 = 1382).

The spelling of 114327612 in words is "one hundred fourteen million, three hundred twenty-seven thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 729 756 972 1134 1458 1701 1867 2187 2268 2916 3402 3734 4374 5103 5601 6804 7468 8748 10206 11202 13069 15309 16803 20412 22404 26138 30618 33606 39207 50409 52276 61236 67212 78414 100818 117621 151227 156828 201636 235242 302454 352863 453681 470484 604908 705726 907362 1058589 1361043 1411452 1814724 2117178 2722086 3175767 4083129 4234356 5444172 6351534 8166258 9527301 12703068 16332516 19054602 28581903 38109204 57163806 114327612