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13332120 = 2335241461
BaseRepresentation
bin110010110110…
…111010011000
3221002100020020
4302312322120
511403111440
61153430440
7221215104
oct62667230
927070206
1013332120
11758668a
12456b420
1329ba439
141ab0904
1512853d0
hexcb6e98

13332120 has 64 divisors (see below), whose sum is σ = 40249440. Its totient is φ = 3532800.

The previous prime is 13332113. The next prime is 13332169. The reversal of 13332120 is 2123331.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13332120.

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 15 ways as a sum of consecutive naturals, for example, 28690 + ... + 29150.

Almost surely, 213332120 is an apocalyptic number.

13332120 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 13332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20124720).

13332120 is an abundant number, since it is smaller than the sum of its proper divisors (26917320).

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

13332120 is a wasteful number, since it uses less digits than its factorization.

13332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 13332120 is about 3651.3175704121. The cubic root of 13332120 is about 237.1190272525.

Adding to 13332120 its reverse (2123331), we get a palindrome (15455451).

The spelling of 13332120 in words is "thirteen million, three hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 241 461 482 723 922 964 1205 1383 1446 1844 1928 2305 2410 2766 2892 3615 3688 4610 4820 5532 5784 6915 7230 9220 9640 11064 13830 14460 18440 27660 28920 55320 111101 222202 333303 444404 555505 666606 888808 1111010 1333212 1666515 2222020 2666424 3333030 4444040 6666060 13332120