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13300380 = 22325193889
BaseRepresentation
bin110010101111…
…001010011100
3221000201200200
4302233022130
511401103010
61153023500
7221023422
oct62571234
927021620
1013300380
117564855
124554b90
1329a8b62
141aa3112
15127acc0
hexcaf29c

13300380 has 72 divisors (see below), whose sum is σ = 42478800. Its totient is φ = 3359232.

The previous prime is 13300367. The next prime is 13300471. The reversal of 13300380 is 8300331.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1476 + ... + 5364.

Almost surely, 213300380 is an apocalyptic number.

13300380 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 13300380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21239400).

13300380 is an abundant number, since it is smaller than the sum of its proper divisors (29178420).

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

13300380 is a wasteful number, since it uses less digits than its factorization.

13300380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3923 (or 3918 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 13300380 is about 3646.9686041972. The cubic root of 13300380 is about 236.9307066556.

The spelling of 13300380 in words is "thirteen million, three hundred thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 3889 7778 11667 15556 19445 23334 35001 38890 46668 58335 70002 73891 77780 116670 140004 147782 175005 221673 233340 295564 350010 369455 443346 665019 700020 738910 886692 1108365 1330038 1477820 2216730 2660076 3325095 4433460 6650190 13300380