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114152532 = 223131922027
BaseRepresentation
bin1101100110111…
…01010001010100
321221210112211120
412303131101110
5213210340112
615154403540
72554165134
oct663352124
9257715746
10114152532
115948853a
12322905b0
131a85a4a0
1411236ac4
15a04ce8c
hex6cdd454

114152532 has 72 divisors (see below), whose sum is σ = 302885856. Its totient is φ = 33258816.

The previous prime is 114152491. The next prime is 114152567. The reversal of 114152532 is 235251411.

It is a happy number.

It is a super-2 number, since 2×1141525322 = 26061601124022048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55303 + ... + 57329.

It is an arithmetic number, because the mean of its divisors is an integer number (4206748).

Almost surely, 2114152532 is an apocalyptic number.

114152532 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 114152532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151442928).

114152532 is an abundant number, since it is smaller than the sum of its proper divisors (188733324).

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

114152532 is a wasteful number, since it uses less digits than its factorization.

114152532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2085 (or 2064 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 114152532 is about 10684.2188296571. The cubic root of 114152532 is about 485.0969190234.

The spelling of 114152532 in words is "one hundred fourteen million, one hundred fifty-two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 361 494 722 741 988 1083 1444 1482 2027 2166 2964 4054 4332 4693 6081 8108 9386 12162 14079 18772 24324 26351 28158 38513 52702 56316 77026 79053 105404 115539 154052 158106 231078 316212 462156 500669 731747 1001338 1463494 1502007 2002676 2195241 2926988 3004014 4390482 6008028 8780964 9512711 19025422 28538133 38050844 57076266 114152532