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20078964 = 22324711867
BaseRepresentation
bin100110010011…
…0000101110100
31101210010011100
41030212011310
520120011324
61554210100
7332445153
oct114460564
941703140
1020078964
1110374694
126883930
134210359
14294959a
151b694c9
hex1326174

20078964 has 36 divisors (see below), whose sum is σ = 51839424. Its totient is φ = 6550032.

The previous prime is 20078959. The next prime is 20078969. The reversal of 20078964 is 46987002.

It is an interprime number because it is at equal distance from previous prime (20078959) and next prime (20078969).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20078969) 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 11 ways as a sum of consecutive naturals, for example, 4242 + ... + 7625.

It is an arithmetic number, because the mean of its divisors is an integer number (1439984).

Almost surely, 220078964 is an apocalyptic number.

It is an amenable number.

20078964 is an abundant number, since it is smaller than the sum of its proper divisors (31760460).

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

20078964 is a wasteful number, since it uses less digits than its factorization.

20078964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11924 (or 11919 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 20078964 is about 4480.9557016333. The cubic root of 20078964 is about 271.7985279968.

The spelling of 20078964 in words is "twenty million, seventy-eight thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1692 11867 23734 35601 47468 71202 106803 142404 213606 427212 557749 1115498 1673247 2230996 3346494 5019741 6692988 10039482 20078964