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13951940 = 2254211657
BaseRepresentation
bin110101001110…
…001111000100
3222020211110112
4311032033010
512032430230
61215012152
7226406132
oct65161704
928224415
1013951940
11796a332
12480a058
132b765b2
141bd2752
151358d95
hexd4e3c4

13951940 has 24 divisors (see below), whose sum is σ = 29386392. Its totient is φ = 5564160.

The previous prime is 13951937. The next prime is 13951957. The reversal of 13951940 is 4915931.

13951940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 232324 + 13719616 = 482^2 + 3704^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13951897 and 13951906.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7592 + ... + 9248.

It is an arithmetic number, because the mean of its divisors is an integer number (1224433).

Almost surely, 213951940 is an apocalyptic number.

13951940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13951940 is an abundant number, since it is smaller than the sum of its proper divisors (15434452).

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

13951940 is a wasteful number, since it uses less digits than its factorization.

13951940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2087 (or 2085 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 32.

The square root of 13951940 is about 3735.2295779510. The cubic root of 13951940 is about 240.7381210965.

The spelling of 13951940 in words is "thirteen million, nine hundred fifty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 421 842 1657 1684 2105 3314 4210 6628 8285 8420 16570 33140 697597 1395194 2790388 3487985 6975970 13951940