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13420960 = 255723521
BaseRepresentation
bin110011001100…
…100110100000
3221020212002121
4303030212200
511413432320
61155354024
7222035110
oct63144640
927225077
1013420960
117637403
1245b2914
132a1b9c7
141ad5040
1512a18aa
hexccc9a0

13420960 has 96 divisors (see below), whose sum is σ = 37884672. Its totient is φ = 4392960.

The previous prime is 13420949. The next prime is 13420961. The reversal of 13420960 is 6902431.

It is not an unprimeable number, because it can be changed into a prime (13420961) 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, 25500 + ... + 26020.

It is an arithmetic number, because the mean of its divisors is an integer number (394632).

Almost surely, 213420960 is an apocalyptic number.

13420960 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 13420960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18942336).

13420960 is an abundant number, since it is smaller than the sum of its proper divisors (24463712).

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

13420960 is a wasteful number, since it uses less digits than its factorization.

13420960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 13420960 is about 3663.4628427214. The cubic root of 13420960 is about 237.6445509691.

The spelling of 13420960 in words is "thirteen million, four hundred twenty thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 70 80 92 112 115 140 160 161 184 224 230 280 322 368 460 521 560 644 736 805 920 1042 1120 1288 1610 1840 2084 2576 2605 3220 3647 3680 4168 5152 5210 6440 7294 8336 10420 11983 12880 14588 16672 18235 20840 23966 25760 29176 36470 41680 47932 58352 59915 72940 83360 83881 95864 116704 119830 145880 167762 191728 239660 291760 335524 383456 419405 479320 583520 671048 838810 958640 1342096 1677620 1917280 2684192 3355240 6710480 13420960