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114370512 = 2437930161
BaseRepresentation
bin1101101000100…
…10011111010000
321222012121211220
412310102133100
5213234324022
615203205040
72556063504
oct664223720
9258177756
10114370512
1159617293
1232376780
131a905779
1411292304
15a09285c
hex6d127d0

114370512 has 40 divisors (see below), whose sum is σ = 299207040. Its totient is φ = 37639680.

The previous prime is 114370511. The next prime is 114370523. The reversal of 114370512 is 215073411.

It is a super-2 number, since 2×1143705122 = 26161228030284288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114370511) 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 7 ways as a sum of consecutive naturals, for example, 11289 + ... + 18872.

It is an arithmetic number, because the mean of its divisors is an integer number (7480176).

Almost surely, 2114370512 is an apocalyptic number.

114370512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114370512 is an abundant number, since it is smaller than the sum of its proper divisors (184836528).

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

114370512 is a wasteful number, since it uses less digits than its factorization.

114370512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30251 (or 30245 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 114370512 is about 10694.4149910128. The cubic root of 114370512 is about 485.4054950129.

The spelling of 114370512 in words is "one hundred fourteen million, three hundred seventy thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 158 237 316 474 632 948 1264 1896 3792 30161 60322 90483 120644 180966 241288 361932 482576 723864 1447728 2382719 4765438 7148157 9530876 14296314 19061752 28592628 38123504 57185256 114370512