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114534900 = 223252127261
BaseRepresentation
bin1101101001110…
…10100111110100
321222111222100100
412310322213310
5213310104100
615210514100
72560346664
oct664724764
9258458310
10114534900
1159719847
1232435930
131a96253c
14112d61a4
15a0c6400
hex6d3a9f4

114534900 has 54 divisors (see below), whose sum is σ = 359006102. Its totient is φ = 30542400.

The previous prime is 114534841. The next prime is 114534913. The reversal of 114534900 is 9435411.

It can be written as a sum of positive squares in 3 ways, for example, as 21566736 + 92968164 = 4644^2 + 9642^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 62731 + ... + 64530.

Almost surely, 2114534900 is an apocalyptic number.

114534900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114534900 is an abundant number, since it is smaller than the sum of its proper divisors (244471202).

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

114534900 is a wasteful number, since it uses less digits than its factorization.

114534900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127281 (or 127271 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 114534900 is about 10702.0979251734. The cubic root of 114534900 is about 485.6379460679.

The spelling of 114534900 in words is "one hundred fourteen million, five hundred thirty-four thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 127261 254522 381783 509044 636305 763566 1145349 1272610 1527132 1908915 2290698 2545220 3181525 3817830 4581396 5726745 6363050 7635660 9544575 11453490 12726100 19089150 22906980 28633725 38178300 57267450 114534900