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13198590 = 2325532767
BaseRepresentation
bin110010010110…
…010011111110
3220211120001200
4302112103332
511334323330
61150520330
7220120566
oct62262376
926746050
1013198590
1174a5329
1245060a6
132971722
141a77da6
15125aa60
hexc964fe

13198590 has 48 divisors (see below), whose sum is σ = 34976448. Its totient is φ = 3451968.

The previous prime is 13198553. The next prime is 13198621. The reversal of 13198590 is 9589131.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3387 + ... + 6153.

It is an arithmetic number, because the mean of its divisors is an integer number (728676).

Almost surely, 213198590 is an apocalyptic number.

13198590 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 13198590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17488224).

13198590 is an abundant number, since it is smaller than the sum of its proper divisors (21777858).

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

13198590 is a wasteful number, since it uses less digits than its factorization.

13198590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2833 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 13198590 is about 3632.9863748712. The cubic root of 13198590 is about 236.3247349014.

The spelling of 13198590 in words is "thirteen million, one hundred ninety-eight thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 265 318 477 530 795 954 1590 2385 2767 4770 5534 8301 13835 16602 24903 27670 41505 49806 83010 124515 146651 249030 293302 439953 733255 879906 1319859 1466510 2199765 2639718 4399530 6599295 13198590