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13714740 = 22325135861
BaseRepresentation
bin110100010100…
…010100110100
3221210210002100
4310110110310
512002332430
61205542100
7224400444
oct64242464
927723070
1013714740
1178180a6
124714930
132ac2640
141b70124
15130d960
hexd14534

13714740 has 72 divisors (see below), whose sum is σ = 44809128. Its totient is φ = 3375360.

The previous prime is 13714681. The next prime is 13714763. The reversal of 13714740 is 4741731.

It can be written as a sum of positive squares in 4 ways, for example, as 142884 + 13571856 = 378^2 + 3684^2 .

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 591 + ... + 5270.

It is an arithmetic number, because the mean of its divisors is an integer number (622349).

Almost surely, 213714740 is an apocalyptic number.

13714740 is a gapful number since it is divisible by the number (10) 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 13714740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22404564).

13714740 is an abundant number, since it is smaller than the sum of its proper divisors (31094388).

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

13714740 is a wasteful number, since it uses less digits than its factorization.

13714740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5889 (or 5884 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 13714740 is about 3703.3417341639. The cubic root of 13714740 is about 239.3660351770.

The spelling of 13714740 in words is "thirteen million, seven hundred fourteen thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 5861 11722 17583 23444 29305 35166 52749 58610 70332 76193 87915 105498 117220 152386 175830 210996 228579 263745 304772 351660 380965 457158 527490 685737 761930 914316 1054980 1142895 1371474 1523860 2285790 2742948 3428685 4571580 6857370 13714740