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13349420 = 2257177179
BaseRepresentation
bin110010111011…
…001000101100
3221010012221222
4302323020230
511404140140
61154042512
7221316410
oct62731054
927105858
1013349420
117598687
124579438
1329c5286
141ab6d40
15128a5b5
hexcbb22c

13349420 has 96 divisors (see below), whose sum is σ = 34836480. Its totient is φ = 4193280.

The previous prime is 13349411. The next prime is 13349443. The reversal of 13349420 is 2494331.

13349420 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

13349420 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 13349420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168941 + ... + 169019.

It is an arithmetic number, because the mean of its divisors is an integer number (362880).

Almost surely, 213349420 is an apocalyptic number.

13349420 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 13349420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17418240).

13349420 is an abundant number, since it is smaller than the sum of its proper divisors (21487060).

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

13349420 is a wasteful number, since it uses less digits than its factorization.

13349420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 13349420 is about 3653.6858102470. The cubic root of 13349420 is about 237.2215462343.

The spelling of 13349420 in words is "thirteen million, three hundred forty-nine thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 71 79 85 119 140 142 158 170 238 284 316 340 355 395 476 497 553 595 710 790 994 1106 1190 1207 1343 1420 1580 1988 2212 2380 2414 2485 2686 2765 4828 4970 5372 5530 5609 6035 6715 8449 9401 9940 11060 11218 12070 13430 16898 18802 22436 24140 26860 28045 33796 37604 39263 42245 47005 56090 78526 84490 94010 95353 112180 157052 168980 188020 190706 196315 381412 392630 476765 667471 785260 953530 1334942 1907060 2669884 3337355 6674710 13349420