Search a number
-
+
13296640 = 21057253
BaseRepresentation
bin110010101110…
…010000000000
3221000112120011
4302232100000
511400443030
61152554304
7221006500
oct62562000
927015504
1013296640
117561a65
124552994
1329a7246
141aa1a00
151279b2a
hexcae400

13296640 has 132 divisors (see below), whose sum is σ = 37803996. Its totient is φ = 4472832.

The previous prime is 13296617. The next prime is 13296641. The reversal of 13296640 is 4669231.

It can be written as a sum of positive squares in 2 ways, for example, as 7225344 + 6071296 = 2688^2 + 2464^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13296641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 250854 + ... + 250906.

Almost surely, 213296640 is an apocalyptic number.

13296640 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 13296640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18901998).

13296640 is an abundant number, since it is smaller than the sum of its proper divisors (24507356).

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

13296640 is an equidigital number, since it uses as much as digits as its factorization.

13296640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 13296640 is about 3646.4558135263. The cubic root of 13296640 is about 236.9084966658.

The spelling of 13296640 in words is "thirteen million, two hundred ninety-six thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 53 56 64 70 80 98 106 112 128 140 160 196 212 224 245 256 265 280 320 371 392 424 448 490 512 530 560 640 742 784 848 896 980 1024 1060 1120 1280 1484 1568 1696 1792 1855 1960 2120 2240 2560 2597 2968 3136 3392 3584 3710 3920 4240 4480 5120 5194 5936 6272 6784 7168 7420 7840 8480 8960 10388 11872 12544 12985 13568 14840 15680 16960 17920 20776 23744 25088 25970 27136 29680 31360 33920 35840 41552 47488 50176 51940 54272 59360 62720 67840 83104 94976 103880 118720 125440 135680 166208 189952 207760 237440 250880 271360 332416 379904 415520 474880 664832 831040 949760 1329664 1662080 1899520 2659328 3324160 6648320 13296640