Search a number
-
+
13641990 = 23517231163
BaseRepresentation
bin110100000010…
…100100000110
3221200002021220
4310002210012
511443020430
61204221210
7223645365
oct64024406
927602256
1013641990
11777847a
12469a806
132a984ab
141b517dc
1512e7110
hexd02906

13641990 has 64 divisors (see below), whose sum is σ = 36205056. Its totient is φ = 3272192.

The previous prime is 13641989. The next prime is 13642001. The reversal of 13641990 is 9914631.

It is a super-2 number, since 2×136419902 = 372207782320200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11149 + ... + 12311.

It is an arithmetic number, because the mean of its divisors is an integer number (565704).

Almost surely, 213641990 is an apocalyptic number.

13641990 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 13641990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18102528).

13641990 is an abundant number, since it is smaller than the sum of its proper divisors (22563066).

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

13641990 is a wasteful number, since it uses less digits than its factorization.

13641990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213.

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 13641990 is about 3693.5064640528. The cubic root of 13641990 is about 238.9420446182.

The spelling of 13641990 in words is "thirteen million, six hundred forty-one thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 15 17 23 30 34 46 51 69 85 102 115 138 170 230 255 345 391 510 690 782 1163 1173 1955 2326 2346 3489 3910 5815 5865 6978 11630 11730 17445 19771 26749 34890 39542 53498 59313 80247 98855 118626 133745 160494 197710 267490 296565 401235 454733 593130 802470 909466 1364199 2273665 2728398 4547330 6820995 13641990