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21416967 = 341113432
BaseRepresentation
bin101000110110…
…0110000000111
31111022002120000
41101230300013
520440320332
62043012343
7350020065
oct121546007
944262500
1021416967
11110a8980
12720a0b3
13458b380
142bb7035
151d30b7c
hex146cc07

21416967 has 60 divisors (see below), whose sum is σ = 38480904. Its totient is φ = 11702880.

The previous prime is 21416953. The next prime is 21416987. The reversal of 21416967 is 76961412.

It is not a de Polignac number, because 21416967 - 27 = 21416839 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21416987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 498048 + ... + 498090.

Almost surely, 221416967 is an apocalyptic number.

21416967 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

21416967 is a deficient number, since it is larger than the sum of its proper divisors (17063937).

21416967 is a wasteful number, since it uses less digits than its factorization.

21416967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 70 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 21416967 is about 4627.8469075802. The cubic root of 21416967 is about 277.7064643186.

The spelling of 21416967 in words is "twenty-one million, four hundred sixteen thousand, nine hundred sixty-seven".

Divisors: 1 3 9 11 13 27 33 39 43 81 99 117 129 143 297 351 387 429 473 559 891 1053 1161 1287 1419 1677 1849 3483 3861 4257 5031 5547 6149 11583 12771 15093 16641 18447 20339 24037 38313 45279 49923 55341 61017 72111 149769 166023 183051 216333 264407 498069 549153 648999 793221 1647459 1946997 2379663 7138989 21416967