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13789272 = 2337211389
BaseRepresentation
bin110100100110…
…100001011000
3221221120022210
4310212201120
512012224042
61211315120
7225130650
oct64464130
927846283
1013789272
1178690a2
12474baa0
132b1a543
141b8d360
151325a9c
hexd26858

13789272 has 64 divisors (see below), whose sum is σ = 39686400. Its totient is φ = 3911040.

The previous prime is 13789253. The next prime is 13789273. The reversal of 13789272 is 27298731.

It is a self number, because there is not a number n which added to its sum of digits gives 13789272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13789273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35254 + ... + 35642.

It is an arithmetic number, because the mean of its divisors is an integer number (620100).

Almost surely, 213789272 is an apocalyptic number.

13789272 is a gapful number since it is divisible by the number (12) 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 13789272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19843200).

13789272 is an abundant number, since it is smaller than the sum of its proper divisors (25897128).

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

13789272 is a wasteful number, since it uses less digits than its factorization.

13789272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 612 counting only the distinct ones).

The product of its digits is 42336, while the sum is 39.

The square root of 13789272 is about 3713.3909032042. The cubic root of 13789272 is about 239.7988592515.

The spelling of 13789272 in words is "thirteen million, seven hundred eighty-nine thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 211 389 422 633 778 844 1167 1266 1477 1556 1688 2334 2532 2723 2954 3112 4431 4668 5064 5446 5908 8169 8862 9336 10892 11816 16338 17724 21784 32676 35448 65352 82079 164158 246237 328316 492474 574553 656632 984948 1149106 1723659 1969896 2298212 3447318 4596424 6894636 13789272