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2136480 = 25354451
BaseRepresentation
bin1000001001100110100000
311000112200220
420021212200
51021331410
6113443040
724105543
oct10114640
94015626
102136480
11122a195
12870480
1359a5b8
143d885a
152c3070
hex2099a0

2136480 has 48 divisors (see below), whose sum is σ = 6731424. Its totient is φ = 569600.

The previous prime is 2136473. The next prime is 2136487. The reversal of 2136480 is 846312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2136473) and next prime (2136487).

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

It is a hoax number, since the sum of its digits (24) 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2136480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2136487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1746 + ... + 2705.

It is an arithmetic number, because the mean of its divisors is an integer number (140238).

22136480 is an apocalyptic number.

2136480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2136480 is an abundant number, since it is smaller than the sum of its proper divisors (4594944).

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

2136480 is a wasteful number, since it uses less digits than its factorization.

2136480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4469 (or 4461 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2136480 is about 1461.6702774566. The cubic root of 2136480 is about 128.7951800467.

The spelling of 2136480 in words is "two million, one hundred thirty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4451 8902 13353 17804 22255 26706 35608 44510 53412 66765 71216 89020 106824 133530 142432 178040 213648 267060 356080 427296 534120 712160 1068240 2136480