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2140096 = 26717281
BaseRepresentation
bin1000001010011111000000
311000201122211
420022133000
51021440341
6113511504
724122230
oct10123700
94021584
102140096
111231982
12872594
1359c13a
143d9cc0
152c4181
hex20a7c0

2140096 has 56 divisors (see below), whose sum is σ = 5157216. Its totient is φ = 860160.

The previous prime is 2140091. The next prime is 2140109. The reversal of 2140096 is 6900412.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7476 + ... + 7756.

22140096 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 2140096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2578608).

2140096 is an abundant number, since it is smaller than the sum of its proper divisors (3017120).

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

2140096 is a wasteful number, since it uses less digits than its factorization.

2140096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 2140096 is about 1462.9066955893. The cubic root of 2140096 is about 128.8678011917.

The spelling of 2140096 in words is "two million, one hundred forty thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 281 448 476 544 562 952 1088 1124 1904 1967 2248 3808 3934 4496 4777 7616 7868 8992 9554 15736 17984 19108 31472 33439 38216 62944 66878 76432 125888 133756 152864 267512 305728 535024 1070048 2140096