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114152652 = 223713049
BaseRepresentation
bin1101100110111…
…01010011001100
321221210120000000
412303131103030
5213210341102
615154404300
72554165365
oct663352314
9257716000
10114152652
1159488639
1232290690
131a85a563
1411236b6c
15a04d01c
hex6cdd4cc

114152652 has 48 divisors (see below), whose sum is σ = 299628000. Its totient is φ = 38047968.

The previous prime is 114152641. The next prime is 114152653. The reversal of 114152652 is 256251411.

114152652 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 5 + 2 + 652 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (114152653) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2224 + ... + 15272.

It is an arithmetic number, because the mean of its divisors is an integer number (6242250).

Almost surely, 2114152652 is an apocalyptic number.

114152652 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 114152652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149814000).

114152652 is an abundant number, since it is smaller than the sum of its proper divisors (185475348).

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

114152652 is an equidigital number, since it uses as much as digits as its factorization.

114152652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13074 (or 13054 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 114152652 is about 10684.2244454148. The cubic root of 114152652 is about 485.0970890054.

The spelling of 114152652 in words is "one hundred fourteen million, one hundred fifty-two thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4374 8748 13049 26098 39147 52196 78294 117441 156588 234882 352323 469764 704646 1056969 1409292 2113938 3170907 4227876 6341814 9512721 12683628 19025442 28538163 38050884 57076326 114152652