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18993696 = 253672953
BaseRepresentation
bin100100001110…
…1001000100000
31022201222110020
41020131020200
514330244241
61515033440
7320305131
oct110351040
938658406
1018993696
11a7a3277
12643b880
133c20397
142745c88
151a02b66
hex121d220

18993696 has 48 divisors (see below), whose sum is σ = 50619744. Its totient is φ = 6234624.

The previous prime is 18993683. The next prime is 18993697. The reversal of 18993696 is 69639981.

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

It is not an unprimeable number, because it can be changed into a prime (18993697) 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, 4956 + ... + 7908.

It is an arithmetic number, because the mean of its divisors is an integer number (1054578).

Almost surely, 218993696 is an apocalyptic number.

18993696 is a gapful number since it is divisible by the number (16) 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 18993696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25309872).

18993696 is an abundant number, since it is smaller than the sum of its proper divisors (31626048).

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

18993696 is a wasteful number, since it uses less digits than its factorization.

18993696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3033 (or 3025 counting only the distinct ones).

The product of its digits is 629856, while the sum is 51.

The square root of 18993696 is about 4358.1757651568. The cubic root of 18993696 is about 266.8106500218.

The spelling of 18993696 in words is "eighteen million, nine hundred ninety-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 536 804 1072 1608 2144 2953 3216 5906 6432 8859 11812 17718 23624 35436 47248 70872 94496 141744 197851 283488 395702 593553 791404 1187106 1582808 2374212 3165616 4748424 6331232 9496848 18993696