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13415280 = 243555897
BaseRepresentation
bin110011001011…
…001101110000
3221020120022020
4303023031300
511413242110
61155311440
7222012414
oct63131560
927216266
1013415280
11763310a
1245ab580
132a19248
141ad2d44
15129ed70
hexccb370

13415280 has 40 divisors (see below), whose sum is σ = 41588112. Its totient is φ = 3577344.

The previous prime is 13415251. The next prime is 13415287. The reversal of 13415280 is 8251431.

13415280 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 (40).

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

It is a self number, because there is not a number n which added to its sum of digits gives 13415280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13415287) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27709 + ... + 28188.

Almost surely, 213415280 is an apocalyptic number.

13415280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13415280 is an abundant number, since it is smaller than the sum of its proper divisors (28172832).

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

13415280 is a wasteful number, since it uses less digits than its factorization.

13415280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55913 (or 55907 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 13415280 is about 3662.6875378607. The cubic root of 13415280 is about 237.6110210399.

It can be divided in two parts, 13415 and 280, that added together give a triangular number (13695 = T165).

The spelling of 13415280 in words is "thirteen million, four hundred fifteen thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 55897 111794 167691 223588 279485 335382 447176 558970 670764 838455 894352 1117940 1341528 1676910 2235880 2683056 3353820 4471760 6707640 13415280