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13355520 = 29353747
BaseRepresentation
bin110010111100…
…101000000000
3221010112022220
4302330220000
511404334040
61154131040
7221343243
oct62745000
927115286
1013355520
1175a2222
124580a80
1329c7c99
141ab925a
15128c2d0
hexcbca00

13355520 has 160 divisors (see below), whose sum is σ = 44782848. Its totient is φ = 3391488.

The previous prime is 13355501. The next prime is 13355521. The reversal of 13355520 is 2555331.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13355521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284137 + ... + 284183.

Almost surely, 213355520 is an apocalyptic number.

13355520 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 13355520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22391424).

13355520 is an abundant number, since it is smaller than the sum of its proper divisors (31427328).

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

13355520 is an equidigital number, since it uses as much as digits as its factorization.

13355520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 24.

The square root of 13355520 is about 3654.5204883815. The cubic root of 13355520 is about 237.2576734238.

The spelling of 13355520 in words is "thirteen million, three hundred fifty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 47 48 60 64 74 80 94 96 111 120 128 141 148 160 185 188 192 222 235 240 256 282 296 320 370 376 384 444 470 480 512 555 564 592 640 705 740 752 768 888 940 960 1110 1128 1184 1280 1410 1480 1504 1536 1739 1776 1880 1920 2220 2256 2368 2560 2820 2960 3008 3478 3552 3760 3840 4440 4512 4736 5217 5640 5920 6016 6956 7104 7520 7680 8695 8880 9024 9472 10434 11280 11840 12032 13912 14208 15040 17390 17760 18048 18944 20868 22560 23680 24064 26085 27824 28416 30080 34780 35520 36096 41736 45120 47360 52170 55648 56832 60160 69560 71040 72192 83472 90240 94720 104340 111296 120320 139120 142080 166944 180480 208680 222592 278240 284160 333888 360960 417360 445184 556480 667776 834720 890368 1112960 1335552 1669440 2225920 2671104 3338880 4451840 6677760 13355520