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2136096 = 25327417
BaseRepresentation
bin1000001001100000100000
311000112011200
420021200200
51021323341
6113441200
724104454
oct10114040
94015150
102136096
111229976
12870200
1359a381
143d8664
152c2db6
hex209820

2136096 has 36 divisors (see below), whose sum is σ = 6075342. Its totient is φ = 711936.

The previous prime is 2136091. The next prime is 2136107. The reversal of 2136096 is 6906312.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1527696 + 608400 = 1236^2 + 780^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×21360962 = 9125812242432, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2136091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3421 + ... + 3996.

22136096 is an apocalyptic number.

It is an amenable number.

2136096 is an abundant number, since it is smaller than the sum of its proper divisors (3939246).

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

2136096 is a wasteful number, since it uses less digits than its factorization.

2136096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7433 (or 7422 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 2136096 is about 1461.5389149797. The cubic root of 2136096 is about 128.7874632552.

The spelling of 2136096 in words is "two million, one hundred thirty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 7417 14834 22251 29668 44502 59336 66753 89004 118672 133506 178008 237344 267012 356016 534024 712032 1068048 2136096