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13985720 = 2357199251
BaseRepresentation
bin110101010110…
…011110111000
3222022112210122
4311112132320
512040020340
61215432412
7226606460
oct65263670
928275718
1013985720
117992751
124825708
132b88a98
141c00ba0
151363db5
hexd567b8

13985720 has 64 divisors (see below), whose sum is σ = 36288000. Its totient is φ = 4752000.

The previous prime is 13985711. The next prime is 13985731. The reversal of 13985720 is 2758931.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55595 + ... + 55845.

It is an arithmetic number, because the mean of its divisors is an integer number (567000).

Almost surely, 213985720 is an apocalyptic number.

13985720 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 13985720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144000).

13985720 is an abundant number, since it is smaller than the sum of its proper divisors (22302280).

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

13985720 is a wasteful number, since it uses less digits than its factorization.

13985720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 13985720 is about 3739.7486546558. The cubic root of 13985720 is about 240.9322537035.

The spelling of 13985720 in words is "thirteen million, nine hundred eighty-five thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 199 251 280 398 502 796 995 1004 1255 1393 1592 1757 1990 2008 2510 2786 3514 3980 5020 5572 6965 7028 7960 8785 10040 11144 13930 14056 17570 27860 35140 49949 55720 70280 99898 199796 249745 349643 399592 499490 699286 998980 1398572 1748215 1997960 2797144 3496430 6992860 13985720