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13325790 = 2351722953
BaseRepresentation
bin110010110101…
…010111011110
3221002000112210
4302311113132
511402411130
61153341250
7221160462
oct62652736
927060483
1013325790
117581955
124567826
1329b75aa
141aac4a2
1512835b0
hexcb55de

13325790 has 96 divisors (see below), whose sum is σ = 35808480. Its totient is φ = 3168256.

The previous prime is 13325759. The next prime is 13325797. The reversal of 13325790 is 9752331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13325797) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251404 + ... + 251456.

It is an arithmetic number, because the mean of its divisors is an integer number (373005).

Almost surely, 213325790 is an apocalyptic number.

13325790 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 13325790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17904240).

13325790 is an abundant number, since it is smaller than the sum of its proper divisors (22482690).

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

13325790 is a wasteful number, since it uses less digits than its factorization.

13325790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 13325790 is about 3650.4506571107. The cubic root of 13325790 is about 237.0814938106.

The spelling of 13325790 in words is "thirteen million, three hundred twenty-five thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 10 15 17 29 30 34 51 53 58 85 87 102 106 145 159 170 174 255 265 289 290 318 435 493 510 530 578 795 867 870 901 986 1445 1479 1537 1590 1734 1802 2465 2703 2890 2958 3074 4335 4505 4611 4930 5406 7395 7685 8381 8670 9010 9222 13515 14790 15317 15370 16762 23055 25143 26129 27030 30634 41905 45951 46110 50286 52258 76585 78387 83810 91902 125715 130645 153170 156774 229755 251430 261290 391935 444193 459510 783870 888386 1332579 2220965 2665158 4441930 6662895 13325790