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13425840 = 2432529643
BaseRepresentation
bin110011001101…
…110010110000
3221021002210100
4303031302300
511414111330
61155432400
7222055251
oct63156260
927232710
1013425840
11764003a
1245b5700
132a20cac
141ad6b28
1512a3060
hexccdcb0

13425840 has 120 divisors (see below), whose sum is σ = 46715760. Its totient is φ = 3451392.

The previous prime is 13425833. The next prime is 13425851. The reversal of 13425840 is 4852431.

13425840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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, 20559 + ... + 21201.

It is an arithmetic number, because the mean of its divisors is an integer number (389298).

Almost surely, 213425840 is an apocalyptic number.

13425840 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 13425840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23357880).

13425840 is an abundant number, since it is smaller than the sum of its proper divisors (33289920).

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

13425840 is a wasteful number, since it uses less digits than its factorization.

13425840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 13425840 is about 3664.1288186962. The cubic root of 13425840 is about 237.6733508184.

The spelling of 13425840 in words is "thirteen million, four hundred twenty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 36 40 45 48 58 60 72 80 87 90 116 120 144 145 174 180 232 240 261 290 348 360 435 464 522 580 643 696 720 870 1044 1160 1286 1305 1392 1740 1929 2088 2320 2572 2610 3215 3480 3858 4176 5144 5220 5787 6430 6960 7716 9645 10288 10440 11574 12860 15432 18647 19290 20880 23148 25720 28935 30864 37294 38580 46296 51440 55941 57870 74588 77160 92592 93235 111882 115740 149176 154320 167823 186470 223764 231480 279705 298352 335646 372940 447528 462960 559410 671292 745880 839115 895056 1118820 1342584 1491760 1678230 2237640 2685168 3356460 4475280 6712920 13425840