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13722804 = 2233612083
BaseRepresentation
bin110100010110…
…010010110100
3221211012011000
4310112102310
512003112204
61210043300
7224433114
oct64262264
927735130
1013722804
117823167
124719530
132ac6204
141b73044
151311039
hexd164b4

13722804 has 48 divisors (see below), whose sum is σ = 36178240. Its totient is φ = 4497120.

The previous prime is 13722803. The next prime is 13722817. The reversal of 13722804 is 40822731.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13722803) by changing a digit.

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, 5547 + ... + 7629.

Almost surely, 213722804 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 13722804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18089120).

13722804 is an abundant number, since it is smaller than the sum of its proper divisors (22455436).

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

13722804 is a wasteful number, since it uses less digits than its factorization.

13722804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 13722804 is about 3704.4303205756. The cubic root of 13722804 is about 239.4129401740.

The spelling of 13722804 in words is "thirteen million, seven hundred twenty-two thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 108 122 183 244 366 549 732 1098 1647 2083 2196 3294 4166 6249 6588 8332 12498 18747 24996 37494 56241 74988 112482 127063 224964 254126 381189 508252 762378 1143567 1524756 2287134 3430701 4574268 6861402 13722804