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2536140 = 223543983
BaseRepresentation
bin1001101011001011001100
311202211221010
421223023030
51122124030
6130205220
730361665
oct11531314
94684833
102536140
111482492
12a23810
136aa499
144a036c
153516b0
hex26b2cc

2536140 has 48 divisors (see below), whose sum is σ = 7273728. Its totient is φ = 659904.

The previous prime is 2536133. The next prime is 2536147. The reversal of 2536140 is 416352.

2536140 = T33 + T34 + ... + T247.

It is a happy number.

2536140 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 (2536133) and next prime (2536147).

It is not an unprimeable number, because it can be changed into a prime (2536147) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2089 + ... + 3071.

It is an arithmetic number, because the mean of its divisors is an integer number (151536).

22536140 is an apocalyptic number.

2536140 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 2536140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3636864).

2536140 is an abundant number, since it is smaller than the sum of its proper divisors (4737588).

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

2536140 is a wasteful number, since it uses less digits than its factorization.

2536140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 2536140 is about 1592.5262949164. The cubic root of 2536140 is about 136.3717482043.

The spelling of 2536140 in words is "two million, five hundred thirty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 983 1290 1966 2580 2949 3932 4915 5898 9830 11796 14745 19660 29490 42269 58980 84538 126807 169076 211345 253614 422690 507228 634035 845380 1268070 2536140