Search a number
-
+
13417080 = 2335176577
BaseRepresentation
bin110011001011…
…101001111000
3221020122202220
4303023221320
511413321310
61155324040
7222020565
oct63135170
927218686
1013417080
1176344a6
1245b0620
132a1a001
141ad386c
1512a0670
hexccba78

13417080 has 64 divisors (see below), whose sum is σ = 42625440. Its totient is φ = 3366912.

The previous prime is 13417069. The next prime is 13417081. The reversal of 13417080 is 8071431.

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 13417080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13417081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1249 + ... + 5328.

Almost surely, 213417080 is an apocalyptic number.

13417080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13417080 is an abundant number, since it is smaller than the sum of its proper divisors (29208360).

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

13417080 is a wasteful number, since it uses less digits than its factorization.

13417080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6608 (or 6604 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 13417080 is about 3662.9332508251. The cubic root of 13417080 is about 237.6216477459.

The spelling of 13417080 in words is "thirteen million, four hundred seventeen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 6577 13154 19731 26308 32885 39462 52616 65770 78924 98655 111809 131540 157848 197310 223618 263080 335427 394620 447236 559045 670854 789240 894472 1118090 1341708 1677135 2236180 2683416 3354270 4472360 6708540 13417080