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2105004 = 2231137431
BaseRepresentation
bin1000000001111010101100
310221221112010
420001322230
51014330004
6113041220
723615016
oct10017254
93857463
102105004
111208580
12856210
13589185
143cb1b6
152b8a89
hex201eac

2105004 has 48 divisors (see below), whose sum is σ = 5515776. Its totient is φ = 619200.

The previous prime is 2105003. The next prime is 2105009. The reversal of 2105004 is 4005012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2105003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4669 + ... + 5099.

It is an arithmetic number, because the mean of its divisors is an integer number (114912).

22105004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757888).

2105004 is an abundant number, since it is smaller than the sum of its proper divisors (3410772).

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

2105004 is a wasteful number, since it uses less digits than its factorization.

2105004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 2105004 is about 1450.8631913451. The cubic root of 2105004 is about 128.1595503888.

The spelling of 2105004 in words is "two million, one hundred five thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 431 444 814 862 1221 1293 1628 1724 2442 2586 4741 4884 5172 9482 14223 15947 18964 28446 31894 47841 56892 63788 95682 175417 191364 350834 526251 701668 1052502 2105004