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2140840 = 2351323179
BaseRepresentation
bin1000001010101010101000
311000202200101
420022222220
51022001330
6113515144
724124342
oct10125250
94022611
102140840
111232499
12872ab4
1359c590
143da292
152c44ca
hex20aaa8

2140840 has 64 divisors (see below), whose sum is σ = 5443200. Its totient is φ = 751872.

The previous prime is 2140823. The next prime is 2140843. The reversal of 2140840 is 480412.

2140840 = T51 + T52 + ... + T234.

It is not an unprimeable number, because it can be changed into a prime (2140843) 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, 11871 + ... + 12049.

It is an arithmetic number, because the mean of its divisors is an integer number (85050).

22140840 is an apocalyptic number.

2140840 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 2140840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721600).

2140840 is an abundant number, since it is smaller than the sum of its proper divisors (3302360).

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

2140840 is a wasteful number, since it uses less digits than its factorization.

2140840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 2140840 is about 1463.1609617537. The cubic root of 2140840 is about 128.8827330041.

The spelling of 2140840 in words is "two million, one hundred forty thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 20 23 26 40 46 52 65 92 104 115 130 179 184 230 260 299 358 460 520 598 716 895 920 1196 1432 1495 1790 2327 2392 2990 3580 4117 4654 5980 7160 8234 9308 11635 11960 16468 18616 20585 23270 32936 41170 46540 53521 82340 93080 107042 164680 214084 267605 428168 535210 1070420 2140840