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21961896 = 23311412029
BaseRepresentation
bin101001111000…
…1110010101000
31112022210001120
41103301302220
521110240041
62102415240
7354446565
oct123616250
945283046
1021961896
1111440330
127431520
13471c408
142cb986c
151ddc366
hex14f1ca8

21961896 has 64 divisors (see below), whose sum is σ = 61387200. Its totient is φ = 6489600.

The previous prime is 21961879. The next prime is 21961897. The reversal of 21961896 is 69816912.

It is not an unprimeable number, because it can be changed into a prime (21961897) 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, 9810 + ... + 11838.

It is an arithmetic number, because the mean of its divisors is an integer number (959175).

Almost surely, 221961896 is an apocalyptic number.

21961896 is the 2706-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21961896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30693600).

21961896 is an abundant number, since it is smaller than the sum of its proper divisors (39425304).

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

21961896 is a wasteful number, since it uses less digits than its factorization.

21961896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2090 (or 2086 counting only the distinct ones).

The product of its digits is 46656, while the sum is 42.

The square root of 21961896 is about 4686.3520994479. The cubic root of 21961896 is about 280.0420685090.

The spelling of 21961896 in words is "twenty-one million, nine hundred sixty-one thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 41 44 66 82 88 123 132 164 246 264 328 451 492 902 984 1353 1804 2029 2706 3608 4058 5412 6087 8116 10824 12174 16232 22319 24348 44638 48696 66957 83189 89276 133914 166378 178552 249567 267828 332756 499134 535656 665512 915079 998268 1830158 1996536 2745237 3660316 5490474 7320632 10980948 21961896