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20964702 = 2311267431
BaseRepresentation
bin100111111111…
…0010101011110
31110110010011110
41033332111132
520331332302
62025202450
7343124403
oct117762536
943403143
1020964702
111091a100
127030426
134460565
142ada2aa
151c91b6c
hex13fe55e

20964702 has 48 divisors (see below), whose sum is σ = 46884096. Its totient is φ = 6243600.

The previous prime is 20964701. The next prime is 20964703. The reversal of 20964702 is 20746902.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20964701) and next prime (20964703).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 20964702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20964701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48427 + ... + 48857.

It is an arithmetic number, because the mean of its divisors is an integer number (976752).

Almost surely, 220964702 is an apocalyptic number.

20964702 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 20964702, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23442048).

20964702 is an abundant number, since it is smaller than the sum of its proper divisors (25919394).

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

20964702 is a wasteful number, since it uses less digits than its factorization.

20964702 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 20964702 is about 4578.7227476666. The cubic root of 20964702 is about 275.7377523687.

The spelling of 20964702 in words is "twenty million, nine hundred sixty-four thousand, seven hundred two".

Divisors: 1 2 3 6 11 22 33 66 67 121 134 201 242 363 402 431 726 737 862 1293 1474 2211 2586 4422 4741 8107 9482 14223 16214 24321 28446 28877 48642 52151 57754 86631 104302 156453 173262 312906 317647 635294 952941 1905882 3494117 6988234 10482351 20964702