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13296780 = 22325761173
BaseRepresentation
bin110010101110…
…010010001100
3221000112202100
4302232102030
511400444110
61152555100
7221010060
oct62562214
927015670
1013296780
117562082
124552a90
1329a7323
141aa1aa0
151279bc0
hexcae48c

13296780 has 144 divisors (see below), whose sum is σ = 47121984. Its totient is φ = 2972160.

The previous prime is 13296769. The next prime is 13296791. The reversal of 13296780 is 8769231.

It is an interprime number because it is at equal distance from previous prime (13296769) and next prime (13296791).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76774 + ... + 76946.

It is an arithmetic number, because the mean of its divisors is an integer number (327236).

Almost surely, 213296780 is an apocalyptic number.

13296780 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 13296780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23560992).

13296780 is an abundant number, since it is smaller than the sum of its proper divisors (33825204).

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

13296780 is a wasteful number, since it uses less digits than its factorization.

13296780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 13296780 is about 3646.4750101982. The cubic root of 13296780 is about 236.9093281308.

The spelling of 13296780 in words is "thirteen million, two hundred ninety-six thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 61 63 70 84 90 105 122 126 140 173 180 183 210 244 252 305 315 346 366 420 427 519 549 610 630 692 732 854 865 915 1038 1098 1211 1220 1260 1281 1557 1708 1730 1830 2076 2135 2196 2422 2562 2595 2745 3114 3460 3633 3660 3843 4270 4844 5124 5190 5490 6055 6228 6405 7266 7686 7785 8540 10380 10553 10899 10980 12110 12810 14532 15372 15570 18165 19215 21106 21798 24220 25620 31140 31659 36330 38430 42212 43596 52765 54495 63318 72660 73871 76860 94977 105530 108990 126636 147742 158295 189954 211060 217980 221613 295484 316590 369355 379908 443226 474885 633180 664839 738710 886452 949770 1108065 1329678 1477420 1899540 2216130 2659356 3324195 4432260 6648390 13296780