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13015040 = 21153141
BaseRepresentation
bin110001101001…
…100000000000
3220111020021112
4301221200000
511312440130
61142542452
7215424503
oct61514000
926436245
1013015040
11738a435
124437a28
13290900c
141a2b13a
151221495
hexc69800

13015040 has 96 divisors (see below), whose sum is σ = 33022080. Its totient is φ = 4915200.

The previous prime is 13015007. The next prime is 13015043. The reversal of 13015040 is 4051031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13015043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 317420 + ... + 317460.

It is an arithmetic number, because the mean of its divisors is an integer number (343980).

Almost surely, 213015040 is an apocalyptic number.

13015040 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 13015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511040).

13015040 is an abundant number, since it is smaller than the sum of its proper divisors (20007040).

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

13015040 is an equidigital number, since it uses as much as digits as its factorization.

13015040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 13015040 is about 3607.6363453098. The cubic root of 13015040 is about 235.2241109378.

Adding to 13015040 its reverse (4051031), we get a palindrome (17066071).

The spelling of 13015040 in words is "thirteen million, fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 41 62 64 80 82 124 128 155 160 164 205 248 256 310 320 328 410 496 512 620 640 656 820 992 1024 1240 1271 1280 1312 1640 1984 2048 2480 2542 2560 2624 3280 3968 4960 5084 5120 5248 6355 6560 7936 9920 10168 10240 10496 12710 13120 15872 19840 20336 20992 25420 26240 31744 39680 40672 41984 50840 52480 63488 79360 81344 83968 101680 104960 158720 162688 203360 209920 317440 325376 406720 419840 650752 813440 1301504 1626880 2603008 3253760 6507520 13015040