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13223040 = 27357197
BaseRepresentation
bin110010011100…
…010010000000
3220212210121020
4302130102000
511341114130
61151225440
7220252065
oct62342200
926783536
1013223040
117511736
124518280
13297c8ac
141a82c6c
151262e10
hexc9c480

13223040 has 128 divisors (see below), whose sum is σ = 43182720. Its totient is φ = 3440640.

The previous prime is 13223039. The next prime is 13223051. The reversal of 13223040 is 4032231.

13223040 = T744 + T745 + ... + T788.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136272 + ... + 136368.

It is an arithmetic number, because the mean of its divisors is an integer number (337365).

Almost surely, 213223040 is an apocalyptic number.

13223040 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 13223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21591360).

13223040 is an abundant number, since it is smaller than the sum of its proper divisors (29959680).

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

13223040 is an equidigital number, since it uses as much as digits as its factorization.

13223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 13223040 is about 3636.3498181556. The cubic root of 13223040 is about 236.4705730930.

Adding to 13223040 its reverse (4032231), we get a palindrome (17255271).

The spelling of 13223040 in words is "thirteen million, two hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 71 80 96 97 120 128 142 160 192 194 213 240 284 291 320 355 384 388 426 480 485 568 582 640 710 776 852 960 970 1065 1136 1164 1420 1455 1552 1704 1920 1940 2130 2272 2328 2840 2910 3104 3408 3880 4260 4544 4656 5680 5820 6208 6816 6887 7760 8520 9088 9312 11360 11640 12416 13632 13774 15520 17040 18624 20661 22720 23280 27264 27548 31040 34080 34435 37248 41322 45440 46560 55096 62080 68160 68870 82644 93120 103305 110192 136320 137740 165288 186240 206610 220384 275480 330576 413220 440768 550960 661152 826440 881536 1101920 1322304 1652880 2203840 2644608 3305760 4407680 6611520 13223040