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13934220 = 22351719719
BaseRepresentation
bin110101001001…
…111010001100
3222012221011020
4311021322030
512031343340
61214354140
7226303356
oct65117214
928187136
1013934220
117957a93
1247bb950
132b6b501
141bca0d6
1513539d0
hexd49e8c

13934220 has 96 divisors (see below), whose sum is σ = 43545600. Its totient is φ = 3308544.

The previous prime is 13934209. The next prime is 13934227. The reversal of 13934220 is 2243931.

13934220 = 3352 + 3362 + ... + 4292.

13934220 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13934227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19021 + ... + 19739.

It is an arithmetic number, because the mean of its divisors is an integer number (453600).

Almost surely, 213934220 is an apocalyptic number.

13934220 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 13934220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21772800).

13934220 is an abundant number, since it is smaller than the sum of its proper divisors (29611380).

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

13934220 is a wasteful number, since it uses less digits than its factorization.

13934220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 13934220 is about 3732.8568148269. The cubic root of 13934220 is about 240.6361594869.

The spelling of 13934220 in words is "thirteen million, nine hundred thirty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 19 20 30 34 38 51 57 60 68 76 85 95 102 114 170 190 204 228 255 285 323 340 380 510 570 646 719 969 1020 1140 1292 1438 1615 1938 2157 2876 3230 3595 3876 4314 4845 6460 7190 8628 9690 10785 12223 13661 14380 19380 21570 24446 27322 36669 40983 43140 48892 54644 61115 68305 73338 81966 122230 136610 146676 163932 183345 204915 232237 244460 273220 366690 409830 464474 696711 733380 819660 928948 1161185 1393422 2322370 2786844 3483555 4644740 6967110 13934220