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21194160 = 2435136793
BaseRepresentation
bin101000011011…
…0010110110000
31110212202220220
41100312112300
520411203120
62034133040
7345101361
oct120662660
943782826
1021194160
1110a66539
127121180
134510b30
142b59b68
151cd9b40
hex14365b0

21194160 has 80 divisors (see below), whose sum is σ = 70766304. Its totient is φ = 5216256.

The previous prime is 21194149. The next prime is 21194197. The reversal of 21194160 is 6149112.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 21194160.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277 + ... + 6516.

Almost surely, 221194160 is an apocalyptic number.

21194160 is a gapful number since it is divisible by the number (20) 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 21194160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35383152).

21194160 is an abundant number, since it is smaller than the sum of its proper divisors (49572144).

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

21194160 is a wasteful number, since it uses less digits than its factorization.

21194160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6822 (or 6816 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 21194160 is about 4603.7115461332. The cubic root of 21194160 is about 276.7400847075.

The spelling of 21194160 in words is "twenty-one million, one hundred ninety-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 6793 13586 20379 27172 33965 40758 54344 67930 81516 88309 101895 108688 135860 163032 176618 203790 264927 271720 326064 353236 407580 441545 529854 543440 706472 815160 883090 1059708 1324635 1412944 1630320 1766180 2119416 2649270 3532360 4238832 5298540 7064720 10597080 21194160