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13331720 = 2352343337
BaseRepresentation
bin110010110110…
…110100001000
3221002022200102
4302312310020
511403103340
61153424532
7221213663
oct62666410
927068612
1013331720
117586356
12456b148
1329ba1bc
141ab06da
151285215
hexcb6d08

13331720 has 64 divisors (see below), whose sum is σ = 32123520. Its totient is φ = 4967424.

The previous prime is 13331707. The next prime is 13331737. The reversal of 13331720 is 2713331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13331692 and 13331701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39392 + ... + 39728.

It is an arithmetic number, because the mean of its divisors is an integer number (501930).

Almost surely, 213331720 is an apocalyptic number.

13331720 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 13331720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16061760).

13331720 is an abundant number, since it is smaller than the sum of its proper divisors (18791800).

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

13331720 is a wasteful number, since it uses less digits than its factorization.

13331720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 20.

The square root of 13331720 is about 3651.2627952532. The cubic root of 13331720 is about 237.1166558227.

The spelling of 13331720 in words is "thirteen million, three hundred thirty-one thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 43 46 86 92 115 172 184 215 230 337 344 430 460 674 860 920 989 1348 1685 1720 1978 2696 3370 3956 4945 6740 7751 7912 9890 13480 14491 15502 19780 28982 31004 38755 39560 57964 62008 72455 77510 115928 144910 155020 289820 310040 333293 579640 666586 1333172 1666465 2666344 3332930 6665860 13331720