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21364002 = 23211217577
BaseRepresentation
bin101000101111…
…1110100100010
31111012101220100
41101133310202
520432122002
62041523230
7346406502
oct121376442
944171810
1021364002
1111072100
1271a3516
13457022a
142ba1a02
151d2011c
hex145fd22

21364002 has 72 divisors (see below), whose sum is σ = 53965548. Its totient is φ = 6082560.

The previous prime is 21364001. The next prime is 21364009. The reversal of 21364002 is 20046312.

It is a happy number.

21364002 is a `hidden beast` number, since 21 + 3 + 640 + 0 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16475481 + 4888521 = 4059^2 + 2211^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21364001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36738 + ... + 37314.

Almost surely, 221364002 is an apocalyptic number.

21364002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21364002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26982774).

21364002 is an abundant number, since it is smaller than the sum of its proper divisors (32601546).

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

21364002 is a wasteful number, since it uses less digits than its factorization.

21364002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 21364002 is about 4622.1209417323. The cubic root of 21364002 is about 277.4773490155.

The spelling of 21364002 in words is "twenty-one million, three hundred sixty-four thousand, two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 121 153 187 198 242 306 363 374 561 577 726 1089 1122 1154 1683 1731 2057 2178 3366 3462 4114 5193 6171 6347 9809 10386 12342 12694 18513 19041 19618 29427 37026 38082 57123 58854 69817 88281 107899 114246 139634 176562 209451 215798 323697 418902 628353 647394 971091 1186889 1256706 1942182 2373778 3560667 7121334 10682001 21364002