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13331670 = 2351171569
BaseRepresentation
bin110010110110…
…110011010110
3221002022121120
4302312303112
511403103140
61153424410
7221213562
oct62666326
927068546
1013331670
117586310
12456b106
1329ba181
141ab06a2
1512851d0
hexcb6cd6

13331670 has 64 divisors (see below), whose sum is σ = 35458560. Its totient is φ = 3180800.

The previous prime is 13331663. The next prime is 13331671. The reversal of 13331670 is 7613331.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13331670.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13331671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23146 + ... + 23714.

It is an arithmetic number, because the mean of its divisors is an integer number (554040).

Almost surely, 213331670 is an apocalyptic number.

13331670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13331670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17729280).

13331670 is an abundant number, since it is smaller than the sum of its proper divisors (22126890).

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

13331670 is a wasteful number, since it uses less digits than its factorization.

13331670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661.

The product of its (nonzero) digits is 1134, while the sum is 24.

The square root of 13331670 is about 3651.2559483005. The cubic root of 13331670 is about 237.1163593906.

It can be divided in two parts, 133316 and 70, that added together give a triangular number (133386 = T516).

The spelling of 13331670 in words is "thirteen million, three hundred thirty-one thousand, six hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 71 110 142 165 213 330 355 426 569 710 781 1065 1138 1562 1707 2130 2343 2845 3414 3905 4686 5690 6259 7810 8535 11715 12518 17070 18777 23430 31295 37554 40399 62590 80798 93885 121197 187770 201995 242394 403990 444389 605985 888778 1211970 1333167 2221945 2666334 4443890 6665835 13331670