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2092104 = 233272593
BaseRepresentation
bin111111110110001001000
310221021211100
413332301020
51013421404
6112501400
723532300
oct7766110
93837740
102092104
1111a9913
1284a860
13583341
143c6600
152b4d39
hex1fec48

2092104 has 72 divisors (see below), whose sum is σ = 6602310. Its totient is φ = 596736.

The previous prime is 2092099. The next prime is 2092133. The reversal of 2092104 is 4012902.

It can be written as a sum of positive squares in only one way, i.e., 1695204 + 396900 = 1302^2 + 630^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 8.

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, 3232 + ... + 3824.

22092104 is an apocalyptic number.

2092104 is a gapful number since it is divisible by the number (24) 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 2092104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3301155).

2092104 is an abundant number, since it is smaller than the sum of its proper divisors (4510206).

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

2092104 is a wasteful number, since it uses less digits than its factorization.

2092104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2092104 is about 1446.4107300487. The cubic root of 2092104 is about 127.8972156631.

The spelling of 2092104 in words is "two million, ninety-two thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 593 882 1176 1186 1764 1779 2372 3528 3558 4151 4744 5337 7116 8302 10674 12453 14232 16604 21348 24906 29057 33208 37359 42696 49812 58114 74718 87171 99624 116228 149436 174342 232456 261513 298872 348684 523026 697368 1046052 2092104