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20697888 = 2531491447
BaseRepresentation
bin100111011110…
…1001100100000
31102221120011110
41032331030200
520244313023
62015343320
7340633461
oct116751440
942846143
1020697888
11107576a2
126b21b40
134398c93
142a6ad68
151c3ca93
hex13bd320

20697888 has 48 divisors (see below), whose sum is σ = 54734400. Its totient is φ = 6848256.

The previous prime is 20697883. The next prime is 20697917. The reversal of 20697888 is 88879602.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (20697883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13581 + ... + 15027.

It is an arithmetic number, because the mean of its divisors is an integer number (1140300).

Almost surely, 220697888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20697888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27367200).

20697888 is an abundant number, since it is smaller than the sum of its proper divisors (34036512).

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

20697888 is a wasteful number, since it uses less digits than its factorization.

20697888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 20697888 is about 4549.4931585837. The cubic root of 20697888 is about 274.5629995977.

The spelling of 20697888 in words is "twenty million, six hundred ninety-seven thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 149 298 447 596 894 1192 1447 1788 2384 2894 3576 4341 4768 5788 7152 8682 11576 14304 17364 23152 34728 46304 69456 138912 215603 431206 646809 862412 1293618 1724824 2587236 3449648 5174472 6899296 10348944 20697888