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21713496 = 2337307421
BaseRepresentation
bin101001011010…
…1001001011000
31111212011022120
41102311021120
521024312441
62053221240
7352363440
oct122651130
944764276
1021713496
1111290742
127331820
13466332c
142c53120
151d8d966
hex14b5258

21713496 has 64 divisors (see below), whose sum is σ = 62388480. Its totient is φ = 6168960.

The previous prime is 21713491. The next prime is 21713501. The reversal of 21713496 is 69431712.

It is an interprime number because it is at equal distance from previous prime (21713491) and next prime (21713501).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21713491) 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 15 ways as a sum of consecutive naturals, for example, 51366 + ... + 51786.

It is an arithmetic number, because the mean of its divisors is an integer number (974820).

Almost surely, 221713496 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 21713496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31194240).

21713496 is an abundant number, since it is smaller than the sum of its proper divisors (40674984).

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

21713496 is a wasteful number, since it uses less digits than its factorization.

21713496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 740 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 21713496 is about 4659.7742434586. The cubic root of 21713496 is about 278.9822575786.

The spelling of 21713496 in words is "twenty-one million, seven hundred thirteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 307 421 614 842 921 1228 1263 1684 1842 2149 2456 2526 2947 3368 3684 4298 5052 5894 6447 7368 8596 8841 10104 11788 12894 17192 17682 23576 25788 35364 51576 70728 129247 258494 387741 516988 775482 904729 1033976 1550964 1809458 2714187 3101928 3618916 5428374 7237832 10856748 21713496