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13307040 = 253259241
BaseRepresentation
bin110010110000…
…110010100000
3221001001211100
4302300302200
511401311130
61153114400
7221052015
oct62606240
927031740
1013307040
11756985a
124558a00
1329abbb6
141aa570c
15127cc60
hexcb0ca0

13307040 has 72 divisors (see below), whose sum is σ = 45415188. Its totient is φ = 3548160.

The previous prime is 13307017. The next prime is 13307051. The reversal of 13307040 is 4070331.

It can be written as a sum of positive squares in 2 ways, for example, as 12362256 + 944784 = 3516^2 + 972^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3181 + ... + 6060.

Almost surely, 213307040 is an apocalyptic number.

13307040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13307040 is an abundant number, since it is smaller than the sum of its proper divisors (32108148).

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

13307040 is a wasteful number, since it uses less digits than its factorization.

13307040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9262 (or 9251 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 13307040 is about 3647.8815770252. The cubic root of 13307040 is about 236.9702467589.

Adding to 13307040 its reverse (4070331), we get a palindrome (17377371).

The spelling of 13307040 in words is "thirteen million, three hundred seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 9241 18482 27723 36964 46205 55446 73928 83169 92410 110892 138615 147856 166338 184820 221784 277230 295712 332676 369640 415845 443568 554460 665352 739280 831690 887136 1108920 1330704 1478560 1663380 2217840 2661408 3326760 4435680 6653520 13307040