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13021290 = 2335291663
BaseRepresentation
bin110001101011…
…000001101010
3220111112212000
4301223001222
511313140130
61143031430
7215451642
oct61530152
926445760
1013021290
1173940a7
12443b576
13290bb09
141a2d522
151223260
hexc6b06a

13021290 has 64 divisors (see below), whose sum is σ = 35942400. Its totient is φ = 3350592.

The previous prime is 13021277. The next prime is 13021331. The reversal of 13021290 is 9212031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 31 ways as a sum of consecutive naturals, for example, 6999 + ... + 8661.

It is an arithmetic number, because the mean of its divisors is an integer number (561600).

Almost surely, 213021290 is an apocalyptic number.

13021290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13021290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17971200).

13021290 is an abundant number, since it is smaller than the sum of its proper divisors (22921110).

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

13021290 is a wasteful number, since it uses less digits than its factorization.

13021290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 13021290 is about 3608.5024594699. The cubic root of 13021290 is about 235.2617575227.

The spelling of 13021290 in words is "thirteen million, twenty-one thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 87 90 135 145 174 261 270 290 435 522 783 870 1305 1566 1663 2610 3326 3915 4989 7830 8315 9978 14967 16630 24945 29934 44901 48227 49890 74835 89802 96454 144681 149670 224505 241135 289362 434043 449010 482270 723405 868086 1302129 1446810 2170215 2604258 4340430 6510645 13021290