Search a number
-
+
21949240 = 235312571
BaseRepresentation
bin101001110111…
…0101100111000
31112022010200211
41103232230320
521104333430
62102240504
7354364645
oct123565470
945263624
1021949240
1111431875
127426134
134716721
142cb4dcc
151dd872a
hex14eeb38

21949240 has 48 divisors (see below), whose sum is σ = 51119640. Its totient is φ = 8481600.

The previous prime is 21949229. The next prime is 21949247. The reversal of 21949240 is 4294912.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21949247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38155 + ... + 38725.

Almost surely, 221949240 is an apocalyptic number.

21949240 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 21949240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25559820).

21949240 is an abundant number, since it is smaller than the sum of its proper divisors (29170400).

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

21949240 is a wasteful number, since it uses less digits than its factorization.

21949240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 21949240 is about 4685.0016008535. The cubic root of 21949240 is about 279.9882648143.

The spelling of 21949240 in words is "twenty-one million, nine hundred forty-nine thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 571 620 961 1142 1240 1922 2284 2855 3844 4568 4805 5710 7688 9610 11420 17701 19220 22840 35402 38440 70804 88505 141608 177010 354020 548731 708040 1097462 2194924 2743655 4389848 5487310 10974620 21949240