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21166496 = 2513174173
BaseRepresentation
bin101000010111…
…1100110100000
31110211100222022
41100233212200
520404311441
62033401012
7344624621
oct120574640
943740868
1021166496
1110a4777a
127109168
134501370
142b4da48
151cd184b
hex142f9a0

21166496 has 96 divisors (see below), whose sum is σ = 49342608. Its totient is φ = 8847360.

The previous prime is 21166489. The next prime is 21166499. The reversal of 21166496 is 69466112.

It can be written as a sum of positive squares in 8 ways, for example, as 4682896 + 16483600 = 2164^2 + 4060^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21166499) 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 15 ways as a sum of consecutive naturals, for example, 289916 + ... + 289988.

Almost surely, 221166496 is an apocalyptic number.

21166496 is a gapful number since it is divisible by the number (26) 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 21166496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24671304).

21166496 is an abundant number, since it is smaller than the sum of its proper divisors (28176112).

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

21166496 is a wasteful number, since it uses less digits than its factorization.

21166496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 146 counting only the distinct ones).

The product of its digits is 15552, while the sum is 35.

The square root of 21166496 is about 4600.7060327737. The cubic root of 21166496 is about 276.6196258791.

The spelling of 21166496 in words is "twenty-one million, one hundred sixty-six thousand, four hundred ninety-six".

Divisors: 1 2 4 8 13 16 17 26 32 34 41 52 68 73 82 104 136 146 164 208 221 272 292 328 416 442 533 544 584 656 697 884 949 1066 1168 1241 1312 1394 1768 1898 2132 2336 2482 2788 2993 3536 3796 4264 4964 5576 5986 7072 7592 8528 9061 9928 11152 11972 15184 16133 17056 18122 19856 22304 23944 30368 32266 36244 38909 39712 47888 50881 64532 72488 77818 95776 101762 129064 144976 155636 203524 258128 289952 311272 407048 516256 622544 661453 814096 1245088 1322906 1628192 2645812 5291624 10583248 21166496