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18934100 = 2252296529
BaseRepresentation
bin100100000111…
…0100101010100
31022121221200222
41020032211110
514321342400
61513453512
7316636313
oct110164524
938557628
1018934100
11a762519
126411298
133bcc213
14272c27a
1519e0185
hex120e954

18934100 has 36 divisors (see below), whose sum is σ = 42510300. Its totient is φ = 7311360.

The previous prime is 18934081. The next prime is 18934117. The reversal of 18934100 is 143981.

It can be written as a sum of positive squares in 6 ways, for example, as 2515396 + 16418704 = 1586^2 + 4052^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 18934100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 365 + ... + 6164.

Almost surely, 218934100 is an apocalyptic number.

18934100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18934100 is an abundant number, since it is smaller than the sum of its proper divisors (23576200).

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

18934100 is a wasteful number, since it uses less digits than its factorization.

18934100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6572 (or 6565 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 18934100 is about 4351.3331290537. Note that the first 3 decimals coincide. The cubic root of 18934100 is about 266.5313028268.

The spelling of 18934100 in words is "eighteen million, nine hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 6529 13058 26116 32645 65290 130580 163225 189341 326450 378682 652900 757364 946705 1893410 3786820 4733525 9467050 18934100