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114307900 = 22527612677
BaseRepresentation
bin1101101000000…
…11001100111100
321222002102221221
412310003030330
5213230323100
615202003124
72555413120
oct664031474
9258072857
10114307900
1159584243
12323464a4
131a8b3115
1411277580
15a07e01a
hex6d0333c

114307900 has 72 divisors (see below), whose sum is σ = 288238496. Its totient is φ = 38534400.

The previous prime is 114307891. The next prime is 114307903. The reversal of 114307900 is 9703411.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114307903) 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 23 ways as a sum of consecutive naturals, for example, 41362 + ... + 44038.

Almost surely, 2114307900 is an apocalyptic number.

114307900 is a gapful number since it is divisible by the number (10) 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 114307900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144119248).

114307900 is an abundant number, since it is smaller than the sum of its proper divisors (173930596).

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

114307900 is a wasteful number, since it uses less digits than its factorization.

114307900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2759 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 114307900 is about 10691.4872679155. The cubic root of 114307900 is about 485.3169006247.

The spelling of 114307900 in words is "one hundred fourteen million, three hundred seven thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 61 70 100 122 140 175 244 305 350 427 610 700 854 1220 1525 1708 2135 2677 3050 4270 5354 6100 8540 10675 10708 13385 18739 21350 26770 37478 42700 53540 66925 74956 93695 133850 163297 187390 267700 326594 374780 468475 653188 816485 936950 1143079 1632970 1873900 2286158 3265940 4082425 4572316 5715395 8164850 11430790 16329700 22861580 28576975 57153950 114307900