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21850040 = 2353167263
BaseRepresentation
bin101001101011…
…0011110111000
31112010002121202
41103112132320
521043200130
62100153332
7353502512
oct123263670
945102552
1021850040
1111374293
127398848
1346b0524
142c8abb2
151db9145
hex14d67b8

21850040 has 64 divisors (see below), whose sum is σ = 51701760. Its totient is φ = 8300160.

The previous prime is 21850039. The next prime is 21850043. The reversal of 21850040 is 4005812.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 21849994 and 21850021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21850043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82949 + ... + 83211.

It is an arithmetic number, because the mean of its divisors is an integer number (807840).

Almost surely, 221850040 is an apocalyptic number.

21850040 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 21850040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25850880).

21850040 is an abundant number, since it is smaller than the sum of its proper divisors (29851720).

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

21850040 is a wasteful number, since it uses less digits than its factorization.

21850040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 21850040 is about 4674.4026356316. The cubic root of 21850040 is about 279.5658237000.

Adding to 21850040 its reverse (4005812), we get a palindrome (25855852).

The spelling of 21850040 in words is "twenty-one million, eight hundred fifty thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 67 124 134 155 248 263 268 310 335 526 536 620 670 1052 1240 1315 1340 2077 2104 2630 2680 4154 5260 8153 8308 10385 10520 16306 16616 17621 20770 32612 35242 40765 41540 65224 70484 81530 83080 88105 140968 163060 176210 326120 352420 546251 704840 1092502 2185004 2731255 4370008 5462510 10925020 21850040