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20909868 = 2237243827
BaseRepresentation
bin100111111000…
…0111100101100
31110100022221120
41033300330230
520323103433
62024100540
7342505500
oct117607454
943308846
1020909868
1110891991
127004750
134441605
142ac4300
151c807b3
hex13f0f2c

20909868 has 72 divisors (see below), whose sum is σ = 58145472. Its totient is φ = 5828256.

The previous prime is 20909857. The next prime is 20909869. The reversal of 20909868 is 86890902.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (20909869) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24871 + ... + 25697.

It is an arithmetic number, because the mean of its divisors is an integer number (807576).

Almost surely, 220909868 is an apocalyptic number.

20909868 is a gapful number since it is divisible by the number (28) 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 20909868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29072736).

20909868 is an abundant number, since it is smaller than the sum of its proper divisors (37235604).

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

20909868 is a wasteful number, since it uses less digits than its factorization.

20909868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 20909868 is about 4572.7309127041. The cubic root of 20909868 is about 275.4971415037.

The spelling of 20909868 in words is "twenty million, nine hundred nine thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 49 84 86 98 129 147 172 196 258 294 301 516 588 602 827 903 1204 1654 1806 2107 2481 3308 3612 4214 4962 5789 6321 8428 9924 11578 12642 17367 23156 25284 34734 35561 40523 69468 71122 81046 106683 121569 142244 162092 213366 243138 248927 426732 486276 497854 746781 995708 1493562 1742489 2987124 3484978 5227467 6969956 10454934 20909868