Search a number
-
+
21414996 = 2233832389
BaseRepresentation
bin101000110110…
…0010001010100
31111021222212000
41101230101110
520440234441
62042555300
7350011251
oct121542124
944258760
1021414996
11110a7449
127208b30
13458a4c5
142bb6428
151d302b6
hex146c454

21414996 has 48 divisors (see below), whose sum is σ = 56212800. Its totient is φ = 7049376.

The previous prime is 21414983. The next prime is 21415027. The reversal of 21414996 is 69941412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 21414996.

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, 7770 + ... + 10158.

It is an arithmetic number, because the mean of its divisors is an integer number (1171100).

Almost surely, 221414996 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 21414996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28106400).

21414996 is an abundant number, since it is smaller than the sum of its proper divisors (34797804).

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

21414996 is a wasteful number, since it uses less digits than its factorization.

21414996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2485 (or 2477 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 21414996 is about 4627.6339526804. The cubic root of 21414996 is about 277.6979449636.

The spelling of 21414996 in words is "twenty-one million, four hundred fourteen thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 83 108 166 249 332 498 747 996 1494 2241 2389 2988 4482 4778 7167 8964 9556 14334 21501 28668 43002 64503 86004 129006 198287 258012 396574 594861 793148 1189722 1784583 2379444 3569166 5353749 7138332 10707498 21414996