Search a number
-
+
21949140 = 2235379887
BaseRepresentation
bin101001110111…
…0101011010100
31112022010120010
41103232223110
521104333030
62102240220
7354364443
oct123565324
945263503
1021949140
1111431794
127426070
134716675
142cb4d5a
151dd86b0
hex14eead4

21949140 has 48 divisors (see below), whose sum is σ = 63124992. Its totient is φ = 5694336.

The previous prime is 21949139. The next prime is 21949163. The reversal of 21949140 is 4194912.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 21949098 and 21949107.

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, 2724 + ... + 7163.

It is an arithmetic number, because the mean of its divisors is an integer number (1315104).

Almost surely, 221949140 is an apocalyptic number.

21949140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21949140 is an abundant number, since it is smaller than the sum of its proper divisors (41175852).

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

21949140 is a wasteful number, since it uses less digits than its factorization.

21949140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9936 (or 9934 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 21949140 is about 4684.9909284864. The cubic root of 21949140 is about 279.9878396079.

The spelling of 21949140 in words is "twenty-one million, nine hundred forty-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 9887 19774 29661 39548 49435 59322 98870 118644 148305 197740 296610 365819 593220 731638 1097457 1463276 1829095 2194914 3658190 4389828 5487285 7316380 10974570 21949140