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13642928 = 2413107613
BaseRepresentation
bin110100000010…
…110010110000
3221200010120122
4310002302300
511443033203
61204225412
7223651205
oct64026260
927603518
1013642928
117779152
12469b268
132a98a50
141b51cac
1512e7538
hexd02cb0

13642928 has 40 divisors (see below), whose sum is σ = 28779408. Its totient is φ = 6227712.

The previous prime is 13642921. The next prime is 13642943. The reversal of 13642928 is 82924631.

It is a super-2 number, since 2×136429282 = 372258968826368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13642921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21950 + ... + 22562.

Almost surely, 213642928 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 13642928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14389704).

13642928 is an abundant number, since it is smaller than the sum of its proper divisors (15136480).

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

13642928 is a wasteful number, since it uses less digits than its factorization.

13642928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 735 counting only the distinct ones).

The product of its digits is 20736, while the sum is 35.

The square root of 13642928 is about 3693.6334414774. The cubic root of 13642928 is about 238.9475209088.

The spelling of 13642928 in words is "thirteen million, six hundred forty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 107 208 214 428 613 856 1226 1391 1712 2452 2782 4904 5564 7969 9808 11128 15938 22256 31876 63752 65591 127504 131182 262364 524728 852683 1049456 1705366 3410732 6821464 13642928