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13425720 = 23357111453
BaseRepresentation
bin110011001101…
…110000111000
3221021002121220
4303031300320
511414110340
61155432040
7222055020
oct63156070
927232556
1013425720
11763aa40
1245b5620
132a20c19
141ad6a80
1512a2ed0
hexccdc38

13425720 has 128 divisors (see below), whose sum is σ = 50250240. Its totient is φ = 2787840.

The previous prime is 13425707. The next prime is 13425749. The reversal of 13425720 is 2752431.

13425720 = 2312 + 2322 + ... + 3742.

13425720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8514 + ... + 9966.

It is an arithmetic number, because the mean of its divisors is an integer number (392580).

Almost surely, 213425720 is an apocalyptic number.

13425720 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 13425720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25125120).

13425720 is an abundant number, since it is smaller than the sum of its proper divisors (36824520).

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

13425720 is a wasteful number, since it uses less digits than its factorization.

13425720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 13425720 is about 3664.1124436895. The cubic root of 13425720 is about 237.6726427091.

Subtracting from 13425720 its reverse (2752431), we obtain a square (10673289 = 32672).

The spelling of 13425720 in words is "thirteen million, four hundred twenty-five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1453 1540 1848 2310 2906 3080 4359 4620 5812 7265 8718 9240 10171 11624 14530 15983 17436 20342 21795 29060 30513 31966 34872 40684 43590 47949 50855 58120 61026 63932 79915 81368 87180 95898 101710 111881 122052 127864 152565 159830 174360 191796 203420 223762 239745 244104 305130 319660 335643 383592 406840 447524 479490 559405 610260 639320 671286 895048 958980 1118810 1220520 1342572 1678215 1917960 2237620 2685144 3356430 4475240 6712860 13425720