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13354380 = 22325132439
BaseRepresentation
bin110010111100…
…010110001100
3221010110202200
4302330112030
511404320010
61154121500
7221340024
oct62742614
927113680
1013354380
1175a1386
124580290
1329c7600
141ab8a84
15128bcc0
hexcbc58c

13354380 has 108 divisors (see below), whose sum is σ = 43963920. Its totient is φ = 3279744.

The previous prime is 13354331. The next prime is 13354387. The reversal of 13354380 is 8345331.

It is a happy number.

13354380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13354387) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30201 + ... + 30639.

Almost surely, 213354380 is an apocalyptic number.

13354380 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 13354380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21981960).

13354380 is an abundant number, since it is smaller than the sum of its proper divisors (30609540).

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

13354380 is a wasteful number, since it uses less digits than its factorization.

13354380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 13354380 is about 3654.3645138382. The cubic root of 13354380 is about 237.2509226210.

The spelling of 13354380 in words is "thirteen million, three hundred fifty-four thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 169 180 195 234 260 338 390 439 468 507 585 676 780 845 878 1014 1170 1317 1521 1690 1756 2028 2195 2340 2535 2634 3042 3380 3951 4390 5070 5268 5707 6084 6585 7605 7902 8780 10140 11414 13170 15210 15804 17121 19755 22828 26340 28535 30420 34242 39510 51363 57070 68484 74191 79020 85605 102726 114140 148382 171210 205452 222573 256815 296764 342420 370955 445146 513630 667719 741910 890292 1027260 1112865 1335438 1483820 2225730 2670876 3338595 4451460 6677190 13354380