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20694408 = 2337199619
BaseRepresentation
bin100111011110…
…0010110001000
31102221101101120
41032330112020
520244210113
62015315240
7340620360
oct116742610
942841346
1020694408
1110755019
126b1bb20
134397517
142a699a0
151c3ba23
hex13bc588

20694408 has 64 divisors (see below), whose sum is σ = 59520000. Its totient is φ = 5873472.

The previous prime is 20694397. The next prime is 20694409. The reversal of 20694408 is 80449602.

It is not an unprimeable number, because it can be changed into a prime (20694409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33123 + ... + 33741.

It is an arithmetic number, because the mean of its divisors is an integer number (930000).

Almost surely, 220694408 is an apocalyptic number.

20694408 is a gapful number since it is divisible by the number (28) 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 20694408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29760000).

20694408 is an abundant number, since it is smaller than the sum of its proper divisors (38825592).

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

20694408 is a wasteful number, since it uses less digits than its factorization.

20694408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 20694408 is about 4549.1106823202. The cubic root of 20694408 is about 274.5476110262.

The spelling of 20694408 in words is "twenty million, six hundred ninety-four thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 199 398 597 619 796 1194 1238 1393 1592 1857 2388 2476 2786 3714 4179 4333 4776 4952 5572 7428 8358 8666 11144 12999 14856 16716 17332 25998 33432 34664 51996 103992 123181 246362 369543 492724 739086 862267 985448 1478172 1724534 2586801 2956344 3449068 5173602 6898136 10347204 20694408