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21954640 = 245475839
BaseRepresentation
bin101001111000…
…0000001010000
31112022102002211
41103300001100
521110022030
62102321504
7354416461
oct123600120
945272084
1021954640
1111435934
127429294
134719016
142cb6d68
151dda12a
hex14f0050

21954640 has 40 divisors (see below), whose sum is σ = 52139520. Its totient is φ = 8593536.

The previous prime is 21954631. The next prime is 21954643. The reversal of 21954640 is 4645912.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21954643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 841 + ... + 6679.

It is an arithmetic number, because the mean of its divisors is an integer number (1303488).

Almost surely, 221954640 is an apocalyptic number.

21954640 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 21954640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26069760).

21954640 is an abundant number, since it is smaller than the sum of its proper divisors (30184880).

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

21954640 is a wasteful number, since it uses less digits than its factorization.

21954640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5899 (or 5893 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 21954640 is about 4685.5778725788. The cubic root of 21954640 is about 280.0112240399.

The spelling of 21954640 in words is "twenty-one million, nine hundred fifty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1880 3760 5839 11678 23356 29195 46712 58390 93424 116780 233560 274433 467120 548866 1097732 1372165 2195464 2744330 4390928 5488660 10977320 21954640