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13338270 = 235511499
BaseRepresentation
bin110010111000…
…011010011110
3221002122200000
4302320122132
511403311040
61153515130
7221242041
oct62703236
927078600
1013338270
117590270
124572aa6
1329c018a
141ab2c58
151287130
hexcb869e

13338270 has 96 divisors (see below), whose sum is σ = 39312000. Its totient is φ = 3227040.

The previous prime is 13338257. The next prime is 13338313. The reversal of 13338270 is 7283331.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26481 + ... + 26979.

It is an arithmetic number, because the mean of its divisors is an integer number (409500).

Almost surely, 213338270 is an apocalyptic number.

13338270 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 13338270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19656000).

13338270 is an abundant number, since it is smaller than the sum of its proper divisors (25973730).

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

13338270 is a wasteful number, since it uses less digits than its factorization.

13338270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 13338270 is about 3652.1596350653. The cubic root of 13338270 is about 237.1554820159.

The spelling of 13338270 in words is "thirteen million, three hundred thirty-eight thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 243 270 297 330 405 486 495 499 594 810 891 990 998 1215 1485 1497 1782 2430 2495 2673 2970 2994 4455 4491 4990 5346 5489 7485 8910 8982 10978 13365 13473 14970 16467 22455 26730 26946 27445 32934 40419 44910 49401 54890 67365 80838 82335 98802 121257 134730 148203 164670 202095 242514 247005 296406 404190 444609 494010 606285 741015 889218 1212570 1333827 1482030 2223045 2667654 4446090 6669135 13338270