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13312740 = 22357291093
BaseRepresentation
bin110010110010…
…001011100100
3221001100122110
4302302023210
511402001430
61153201020
7221104440
oct62621344
927040573
1013312740
117573071
124560170
1329b167c
141aa7820
15127e7b0
hexcb22e4

13312740 has 96 divisors (see below), whose sum is σ = 44110080. Its totient is φ = 2935296.

The previous prime is 13312727. The next prime is 13312753. The reversal of 13312740 is 4721331.

It is an interprime number because it is at equal distance from previous prime (13312727) and next prime (13312753).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11634 + ... + 12726.

It is an arithmetic number, because the mean of its divisors is an integer number (459480).

Almost surely, 213312740 is an apocalyptic number.

13312740 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 13312740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22055040).

13312740 is an abundant number, since it is smaller than the sum of its proper divisors (30797340).

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

13312740 is a wasteful number, since it uses less digits than its factorization.

13312740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 13312740 is about 3648.6627687414. The cubic root of 13312740 is about 237.0040769118.

The spelling of 13312740 in words is "thirteen million, three hundred twelve thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 29 30 35 42 58 60 70 84 87 105 116 140 145 174 203 210 290 348 406 420 435 580 609 812 870 1015 1093 1218 1740 2030 2186 2436 3045 3279 4060 4372 5465 6090 6558 7651 10930 12180 13116 15302 16395 21860 22953 30604 31697 32790 38255 45906 63394 65580 76510 91812 95091 114765 126788 153020 158485 190182 221879 229530 316970 380364 443758 459060 475455 633940 665637 887516 950910 1109395 1331274 1901820 2218790 2662548 3328185 4437580 6656370 13312740