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2053688 = 237213231
BaseRepresentation
bin111110101011000111000
310212100010112
413311120320
51011204223
6112003452
723312300
oct7653070
93770115
102053688
111182a6a
12830588
1356ba00
143b6600
152a8778
hex1f5638

2053688 has 72 divisors (see below), whose sum is σ = 5006880. Its totient is φ = 786240.

The previous prime is 2053673. The next prime is 2053699. The reversal of 2053688 is 8863502.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

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, 66233 + ... + 66263.

It is an arithmetic number, because the mean of its divisors is an integer number (69540).

22053688 is an apocalyptic number.

2053688 is a gapful number since it is divisible by the number (28) 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 2053688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2503440).

2053688 is an abundant number, since it is smaller than the sum of its proper divisors (2953192).

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

2053688 is a wasteful number, since it uses less digits than its factorization.

2053688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 2053688 is about 1433.0694330701. The cubic root of 2053688 is about 127.1095423743.

The spelling of 2053688 in words is "two million, fifty-three thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 31 49 52 56 62 91 98 104 124 169 182 196 217 248 338 364 392 403 434 637 676 728 806 868 1183 1274 1352 1519 1612 1736 2366 2548 2821 3038 3224 4732 5096 5239 5642 6076 8281 9464 10478 11284 12152 16562 19747 20956 22568 33124 36673 39494 41912 66248 73346 78988 146692 157976 256711 293384 513422 1026844 2053688