Search a number
-
+
13779420 = 22351791283
BaseRepresentation
bin110100100100…
…000111011100
3221221001210220
4310210013130
512011420140
61211201340
7225060144
oct64440734
927831726
1013779420
117861756
124746250
132b15c05
141b89924
151322bd0
hexd241dc

13779420 has 48 divisors (see below), whose sum is σ = 38828160. Its totient is φ = 3651136.

The previous prime is 13779383. The next prime is 13779431. The reversal of 13779420 is 2497731.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 10099 + ... + 11381.

It is an arithmetic number, because the mean of its divisors is an integer number (808920).

Almost surely, 213779420 is an apocalyptic number.

13779420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13779420 is an abundant number, since it is smaller than the sum of its proper divisors (25048740).

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

13779420 is a wasteful number, since it uses less digits than its factorization.

13779420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 13779420 is about 3712.0641158256. The cubic root of 13779420 is about 239.7417360708.

The spelling of 13779420 in words is "thirteen million, seven hundred seventy-nine thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 179 358 537 716 895 1074 1283 1790 2148 2566 2685 3580 3849 5132 5370 6415 7698 10740 12830 15396 19245 25660 38490 76980 229657 459314 688971 918628 1148285 1377942 2296570 2755884 3444855 4593140 6889710 13779420