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2136042 = 232118669
BaseRepresentation
bin1000001001011111101010
311000112002200
420021133222
51021323132
6113441030
724104346
oct10113752
94015080
102136042
111229927
12870176
1359a33c
143d8626
152c2d7c
hex2097ea

2136042 has 12 divisors (see below), whose sum is σ = 4628130. Its totient is φ = 712008.

The previous prime is 2136023. The next prime is 2136061. The reversal of 2136042 is 2406312.

It is a happy number.

2136042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2136023) and next prime (2136061).

It can be written as a sum of positive squares in only one way, i.e., 2134521 + 1521 = 1461^2 + 39^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 118669 = 2136042 / (2 + 1 + 3 + 6 + 0 + 4 + 2).

It is a d-powerful number, because it can be written as 215 + 1 + 36 + 64 + 0 + 46 + 221 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 59317 + ... + 59352.

22136042 is an apocalyptic number.

2136042 is an abundant number, since it is smaller than the sum of its proper divisors (2492088).

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

2136042 is a wasteful number, since it uses less digits than its factorization.

2136042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118677 (or 118674 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2136042 is about 1461.5204411845. The cubic root of 2136042 is about 128.7863780072.

It can be divided in two parts, 21 and 36042, that added together give a palindrome (36063).

The spelling of 2136042 in words is "two million, one hundred thirty-six thousand, forty-two".

Divisors: 1 2 3 6 9 18 118669 237338 356007 712014 1068021 2136042