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13507290 = 2335192633
BaseRepresentation
bin110011100001…
…101011011010
3221102020112000
4303201223122
511424213130
61201301430
7222544566
oct63415332
927366460
1013507290
117696255
124634876
132a4c0a4
141b186a6
1512bc260
hexce1ada

13507290 has 64 divisors (see below), whose sum is σ = 37929600. Its totient is φ = 3411072.

The previous prime is 13507259. The next prime is 13507313. The reversal of 13507290 is 9270531.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3814 + ... + 6446.

It is an arithmetic number, because the mean of its divisors is an integer number (592650).

Almost surely, 213507290 is an apocalyptic number.

13507290 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 13507290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18964800).

13507290 is an abundant number, since it is smaller than the sum of its proper divisors (24422310).

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

13507290 is a wasteful number, since it uses less digits than its factorization.

13507290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2668 (or 2662 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 13507290 is about 3675.2265236309. The cubic root of 13507290 is about 238.1530099112.

The spelling of 13507290 in words is "thirteen million, five hundred seven thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 513 570 855 1026 1710 2565 2633 5130 5266 7899 13165 15798 23697 26330 39495 47394 50027 71091 78990 100054 118485 142182 150081 236970 250135 300162 355455 450243 500270 710910 750405 900486 1350729 1500810 2251215 2701458 4502430 6753645 13507290