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13920690 = 2357151439
BaseRepresentation
bin110101000110…
…100110110010
3222012020121010
4311012212302
512030430230
61214211350
7226216050
oct65064662
928166533
1013920690
117948903
1247b3b56
132b652c4
141bc51d0
15134e9b0
hexd469b2

13920690 has 64 divisors (see below), whose sum is σ = 38522880. Its totient is φ = 3153600.

The previous prime is 13920679. The next prime is 13920713. The reversal of 13920690 is 9602931.

13920690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×139206902 = 387571220152200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31491 + ... + 31929.

It is an arithmetic number, because the mean of its divisors is an integer number (601920).

Almost surely, 213920690 is an apocalyptic number.

13920690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13920690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19261440).

13920690 is an abundant number, since it is smaller than the sum of its proper divisors (24602190).

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

13920690 is a wasteful number, since it uses less digits than its factorization.

13920690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607.

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 13920690 is about 3731.0440897958. The cubic root of 13920690 is about 240.5582490958.

The spelling of 13920690 in words is "thirteen million, nine hundred twenty thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 151 210 302 439 453 755 878 906 1057 1317 1510 2114 2195 2265 2634 3073 3171 4390 4530 5285 6146 6342 6585 9219 10570 13170 15365 15855 18438 30730 31710 46095 66289 92190 132578 198867 331445 397734 464023 662890 928046 994335 1392069 1988670 2320115 2784138 4640230 6960345 13920690