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20188896 = 2537132311
BaseRepresentation
bin100110100000…
…0111011100000
31101222200221220
41031000323200
520132021041
62000415040
7333413520
oct115007340
941880856
1020188896
111043a242
126917480
13424b3c0
142977680
151b8bd66
hex1340ee0

20188896 has 96 divisors (see below), whose sum is σ = 65253888. Its totient is φ = 5322240.

The previous prime is 20188879. The next prime is 20188907. The reversal of 20188896 is 69888102.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7581 + ... + 9891.

It is an arithmetic number, because the mean of its divisors is an integer number (679728).

Almost surely, 220188896 is an apocalyptic number.

20188896 is a gapful number since it is divisible by the number (26) 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 20188896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32626944).

20188896 is an abundant number, since it is smaller than the sum of its proper divisors (45064992).

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

20188896 is a wasteful number, since it uses less digits than its factorization.

20188896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2344 (or 2336 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 20188896 is about 4493.2055372529. The cubic root of 20188896 is about 272.2936563208.

The spelling of 20188896 in words is "twenty million, one hundred eighty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2311 2912 4368 4622 6933 8736 9244 13866 16177 18488 27732 30043 32354 36976 48531 55464 60086 64708 73952 90129 97062 110928 120172 129416 180258 194124 210301 221856 240344 258832 360516 388248 420602 480688 517664 630903 721032 776496 841204 961376 1261806 1442064 1552992 1682408 2523612 2884128 3364816 5047224 6729632 10094448 20188896