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2140896 = 25329769
BaseRepresentation
bin1000001010101011100000
311000202202110
420022223200
51022002041
6113515320
724124452
oct10125340
94022673
102140896
11123253a
12872b40
1359c604
143da2d2
152c4516
hex20aae0

2140896 has 48 divisors (see below), whose sum is σ = 5821200. Its totient is φ = 688128.

The previous prime is 2140877. The next prime is 2140903. The reversal of 2140896 is 6980412.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2400 + ... + 3168.

It is an arithmetic number, because the mean of its divisors is an integer number (121275).

22140896 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 2140896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2910600).

2140896 is an abundant number, since it is smaller than the sum of its proper divisors (3680304).

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

2140896 is a wasteful number, since it uses less digits than its factorization.

2140896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 2140896 is about 1463.1800982791. The cubic root of 2140896 is about 128.8838567639.

The spelling of 2140896 in words is "two million, one hundred forty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 769 928 1392 1538 2307 2784 3076 4614 6152 9228 12304 18456 22301 24608 36912 44602 66903 73824 89204 133806 178408 267612 356816 535224 713632 1070448 2140896