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13242840 = 2335132653
BaseRepresentation
bin110010100001…
…000111011000
3220220210202120
4302201013120
511342232330
61151501240
7220363602
oct62410730
926823676
1013242840
1175255a6
124527820
132988900
141a8a172
151268c10
hexca11d8

13242840 has 96 divisors (see below), whose sum is σ = 43085520. Its totient is φ = 3254784.

The previous prime is 13242833. The next prime is 13242863. The reversal of 13242840 is 4824231.

It is a super-2 number, since 2×132428402 = 350745622531200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13242840.

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, 19954 + ... + 20606.

Almost surely, 213242840 is an apocalyptic number.

13242840 is a gapful number since it is divisible by the number (10) 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 13242840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21542760).

13242840 is an abundant number, since it is smaller than the sum of its proper divisors (29842680).

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

13242840 is a wasteful number, since it uses less digits than its factorization.

13242840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 13242840 is about 3639.0713101010. The cubic root of 13242840 is about 236.5885435019.

The spelling of 13242840 in words is "thirteen million, two hundred forty-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 169 195 260 312 338 390 507 520 653 676 780 845 1014 1306 1352 1560 1690 1959 2028 2535 2612 3265 3380 3918 4056 5070 5224 6530 6760 7836 8489 9795 10140 13060 15672 16978 19590 20280 25467 26120 33956 39180 42445 50934 67912 78360 84890 101868 110357 127335 169780 203736 220714 254670 331071 339560 441428 509340 551785 662142 882856 1018680 1103570 1324284 1655355 2207140 2648568 3310710 4414280 6621420 13242840