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21891040 = 255192379
BaseRepresentation
bin101001110000…
…0011111100000
31112012011212021
41103200133200
521101003130
62101111224
7354033163
oct123403740
945164767
1021891040
11113a2076
1273b8514
1346c60a2
142c9bada
151dc637a
hex14e07e0

21891040 has 72 divisors (see below), whose sum is σ = 54726840. Its totient is φ = 8273664.

The previous prime is 21891031. The next prime is 21891041. The reversal of 21891040 is 4019812.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21890996 and 21891014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21891041) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 57571 + ... + 57949.

It is an arithmetic number, because the mean of its divisors is an integer number (760095).

Almost surely, 221891040 is an apocalyptic number.

21891040 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 21891040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27363420).

21891040 is an abundant number, since it is smaller than the sum of its proper divisors (32835800).

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

21891040 is a wasteful number, since it uses less digits than its factorization.

21891040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 21891040 is about 4678.7861673729. The cubic root of 21891040 is about 279.7405760408.

The spelling of 21891040 in words is "twenty-one million, eight hundred ninety-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 361 379 380 608 722 758 760 1444 1516 1520 1805 1895 2888 3032 3040 3610 3790 5776 6064 7201 7220 7580 11552 12128 14402 14440 15160 28804 28880 30320 36005 57608 57760 60640 72010 115216 136819 144020 230432 273638 288040 547276 576080 684095 1094552 1152160 1368190 2189104 2736380 4378208 5472760 10945520 21891040