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21106818 = 2341131153
BaseRepresentation
bin101000010000…
…1000010000010
31110201100010000
41100201002002
520400404233
62032220430
7344255625
oct120410202
943640100
1021106818
1110a06957
12709a716
1344b0155
142b35dbc
151cbdd13
hex1421082

21106818 has 40 divisors (see below), whose sum is σ = 47754828. Its totient is φ = 6967296.

The previous prime is 21106769. The next prime is 21106819. The reversal of 21106818 is 81860112.

It can be written as a sum of positive squares in 2 ways, for example, as 20493729 + 613089 = 4527^2 + 783^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21106791 and 21106800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21106819) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17730 + ... + 18882.

Almost surely, 221106818 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21106818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23877414).

21106818 is an abundant number, since it is smaller than the sum of its proper divisors (26648010).

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

21106818 is a wasteful number, since it uses less digits than its factorization.

21106818 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 21106818 is about 4594.2157110871. The cubic root of 21106818 is about 276.3594088990.

The spelling of 21106818 in words is "twenty-one million, one hundred six thousand, eight hundred eighteen".

Divisors: 1 2 3 6 9 18 27 54 81 113 162 226 339 678 1017 1153 2034 2306 3051 3459 6102 6918 9153 10377 18306 20754 31131 62262 93393 130289 186786 260578 390867 781734 1172601 2345202 3517803 7035606 10553409 21106818