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13714668 = 22321159587
BaseRepresentation
bin110100010100…
…010011101100
3221210202222200
4310110103230
512002332133
61205541500
7224400312
oct64242354
927722880
1013714668
117818040
124714890
132ac25b6
141b700b2
15130d913
hexd144ec

13714668 has 72 divisors (see below), whose sum is σ = 38525760. Its totient is φ = 4078560.

The previous prime is 13714667. The next prime is 13714669. The reversal of 13714668 is 86641731.

It is an interprime number because it is at equal distance from previous prime (13714667) and next prime (13714669).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13714663) 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 23 ways as a sum of consecutive naturals, for example, 23071 + ... + 23657.

It is an arithmetic number, because the mean of its divisors is an integer number (535080).

Almost surely, 213714668 is an apocalyptic number.

13714668 is a gapful number since it is divisible by the number (18) 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 13714668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19262880).

13714668 is an abundant number, since it is smaller than the sum of its proper divisors (24811092).

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

13714668 is a wasteful number, since it uses less digits than its factorization.

13714668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 662 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 13714668 is about 3703.3320132011. The cubic root of 13714668 is about 239.3656162996.

The spelling of 13714668 in words is "thirteen million, seven hundred fourteen thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 59 66 99 118 132 177 198 236 354 396 531 587 649 708 1062 1174 1298 1761 1947 2124 2348 2596 3522 3894 5283 5841 6457 7044 7788 10566 11682 12914 19371 21132 23364 25828 34633 38742 58113 69266 77484 103899 116226 138532 207798 232452 311697 380963 415596 623394 761926 1142889 1246788 1523852 2285778 3428667 4571556 6857334 13714668