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2136640 = 26511607
BaseRepresentation
bin1000001001101001000000
311000112220211
420021221000
51021333030
6113443504
724106162
oct10115100
94015824
102136640
11122a320
12870594
1359a6ac
143d8932
152c312a
hex209a40

2136640 has 56 divisors (see below), whose sum is σ = 5559552. Its totient is φ = 775680.

The previous prime is 2136601. The next prime is 2136643. The reversal of 2136640 is 466312.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (2136643) 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, 3217 + ... + 3823.

22136640 is an apocalyptic number.

2136640 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 2136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2779776).

2136640 is an abundant number, since it is smaller than the sum of its proper divisors (3422912).

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

2136640 is a wasteful number, since it uses less digits than its factorization.

2136640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 2136640 is about 1461.7250083378. The cubic root of 2136640 is about 128.7983951036.

The spelling of 2136640 in words is "two million, one hundred thirty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 607 704 880 1214 1760 2428 3035 3520 4856 6070 6677 9712 12140 13354 19424 24280 26708 33385 38848 48560 53416 66770 97120 106832 133540 194240 213664 267080 427328 534160 1068320 2136640