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2116840 = 2351117283
BaseRepresentation
bin1000000100110011101000
310222112202111
420010303220
51020214330
6113212104
723664355
oct10046350
93875674
102116840
111216460
12861034
1359168b
143d162c
152bc32a
hex204ce8

2116840 has 64 divisors (see below), whose sum is σ = 5520960. Its totient is φ = 721920.

The previous prime is 2116837. The next prime is 2116867. The reversal of 2116840 is 486112.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7339 + ... + 7621.

It is an arithmetic number, because the mean of its divisors is an integer number (86265).

22116840 is an apocalyptic number.

2116840 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 2116840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2760480).

2116840 is an abundant number, since it is smaller than the sum of its proper divisors (3404120).

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

2116840 is a wasteful number, since it uses less digits than its factorization.

2116840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 2116840 is about 1454.9364247279. The cubic root of 2116840 is about 128.3993064212.

It can be divided in two parts, 21 and 16840, that added together give a palindrome (16861).

The spelling of 2116840 in words is "two million, one hundred sixteen thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 283 340 374 440 566 680 748 935 1132 1415 1496 1870 2264 2830 3113 3740 4811 5660 6226 7480 9622 11320 12452 15565 19244 24055 24904 31130 38488 48110 52921 62260 96220 105842 124520 192440 211684 264605 423368 529210 1058420 2116840