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18274100 = 22521314057
BaseRepresentation
bin100010110110…
…1011100110100
31021101102100112
41011231130310
514134232400
61451402152
7311220155
oct105553464
937342315
1018274100
11a351669
126153358
133a2a9a0
1425d992c
15190e835
hex116d734

18274100 has 36 divisors (see below), whose sum is σ = 42708204. Its totient is φ = 6746880.

The previous prime is 18274073. The next prime is 18274111. The reversal of 18274100 is 147281.

It can be written as a sum of positive squares in 6 ways, for example, as 6522916 + 11751184 = 2554^2 + 3428^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5729 + ... + 8328.

It is an arithmetic number, because the mean of its divisors is an integer number (1186339).

Almost surely, 218274100 is an apocalyptic number.

18274100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18274100 is an abundant number, since it is smaller than the sum of its proper divisors (24434104).

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

18274100 is a wasteful number, since it uses less digits than its factorization.

18274100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14084 (or 14077 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 18274100 is about 4274.8216337059. The cubic root of 18274100 is about 263.3977125437.

The spelling of 18274100 in words is "eighteen million, two hundred seventy-four thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 14057 28114 56228 70285 140570 182741 281140 351425 365482 702850 730964 913705 1405700 1827410 3654820 4568525 9137050 18274100