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2690496 = 2635173
BaseRepresentation
bin1010010000110111000000
312001200200000
422100313000
51142043441
6133400000
731604004
oct12206700
95050600
102690496
111578456
12a99000
13732813
14500704
153822b6
hex290dc0

2690496 has 84 divisors (see below), whose sum is σ = 8043672. Its totient is φ = 891648.

The previous prime is 2690491. The next prime is 2690497. The reversal of 2690496 is 6940962.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 2690496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2690491) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15466 + ... + 15638.

It is an arithmetic number, because the mean of its divisors is an integer number (95758).

22690496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2690496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4021836).

2690496 is an abundant number, since it is smaller than the sum of its proper divisors (5353176).

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

2690496 is an equidigital number, since it uses as much as digits as its factorization.

2690496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 2690496 is about 1640.2731479848. The cubic root of 2690496 is about 139.0840890019.

It can be divided in two parts, 26904 and 96, that added together give a cube (27000 = 303).

The spelling of 2690496 in words is "two million, six hundred ninety thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 173 192 216 243 288 324 346 432 486 519 576 648 692 864 972 1038 1296 1384 1557 1728 1944 2076 2592 2768 3114 3888 4152 4671 5184 5536 6228 7776 8304 9342 11072 12456 14013 15552 16608 18684 24912 28026 33216 37368 42039 49824 56052 74736 84078 99648 112104 149472 168156 224208 298944 336312 448416 672624 896832 1345248 2690496