Search a number
-
+
21683952 = 2432150583
BaseRepresentation
bin101001010110…
…1111011110000
31111210122210100
41102231323300
521022341302
62052432400
7352211343
oct122557360
944718710
1021683952
1111270524
127318700
134652a54
142c4645a
151d84d1c
hex14adef0

21683952 has 30 divisors (see below), whose sum is σ = 60685352. Its totient is φ = 7227936.

The previous prime is 21683951. The next prime is 21683969. The reversal of 21683952 is 25938612.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21683951) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 75148 + ... + 75435.

Almost surely, 221683952 is an apocalyptic number.

It is an amenable number.

21683952 is an abundant number, since it is smaller than the sum of its proper divisors (39001400).

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

21683952 is a wasteful number, since it uses less digits than its factorization.

21683952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150597 (or 150588 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 21683952 is about 4656.6030537292. The cubic root of 21683952 is about 278.8556697511.

The spelling of 21683952 in words is "twenty-one million, six hundred eighty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 150583 301166 451749 602332 903498 1204664 1355247 1806996 2409328 2710494 3613992 5420988 7227984 10841976 21683952