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13433672 = 23717103137
BaseRepresentation
bin110011001111…
…101101001000
3221021111112102
4303033231020
511414334142
61155532532
7222120140
oct63175510
927244472
1013433672
117645a0a
1245ba148
132a24725
141ad9920
1512a5532
hexccfb48

13433672 has 64 divisors (see below), whose sum is σ = 31000320. Its totient is φ = 5326848.

The previous prime is 13433671. The next prime is 13433683. The reversal of 13433672 is 27633431.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13433671) by changing a digit.

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, 97988 + ... + 98124.

It is an arithmetic number, because the mean of its divisors is an integer number (484380).

Almost surely, 213433672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13433672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15500160).

13433672 is an abundant number, since it is smaller than the sum of its proper divisors (17566648).

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

13433672 is a wasteful number, since it uses less digits than its factorization.

13433672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 266 counting only the distinct ones).

The product of its digits is 9072, while the sum is 29.

The square root of 13433672 is about 3665.1974025965. The cubic root of 13433672 is about 237.7195576315.

The spelling of 13433672 in words is "thirteen million, four hundred thirty-three thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 103 119 136 137 206 238 274 412 476 548 721 824 952 959 1096 1442 1751 1918 2329 2884 3502 3836 4658 5768 7004 7672 9316 12257 14008 14111 16303 18632 24514 28222 32606 49028 56444 65212 98056 98777 112888 130424 197554 239887 395108 479774 790216 959548 1679209 1919096 3358418 6716836 13433672