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2157040 = 24559457
BaseRepresentation
bin1000001110100111110000
311001120220101
420032213300
51023011130
6114122144
724222514
oct10164760
94046811
102157040
111243686
12880354
135a6a72
14402144
152c91ca
hex20e9f0

2157040 has 40 divisors (see below), whose sum is σ = 5111280. Its totient is φ = 846336.

The previous prime is 2157037. The next prime is 2157041. The reversal of 2157040 is 407512.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 2156999 and 2157017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2157041) 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, 4492 + ... + 4948.

It is an arithmetic number, because the mean of its divisors is an integer number (127782).

22157040 is an apocalyptic number.

2157040 is a gapful number since it is divisible by the number (20) 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 2157040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555640).

2157040 is an abundant number, since it is smaller than the sum of its proper divisors (2954240).

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

2157040 is a wasteful number, since it uses less digits than its factorization.

2157040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 2157040 is about 1468.6864879885. The cubic root of 2157040 is about 129.2070069398.

The spelling of 2157040 in words is "two million, one hundred fifty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 295 457 472 590 914 944 1180 1828 2285 2360 3656 4570 4720 7312 9140 18280 26963 36560 53926 107852 134815 215704 269630 431408 539260 1078520 2157040