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2006964 = 223318583
BaseRepresentation
bin111101001111110110100
310202222001000
413221332310
51003210324
6111003300
723026131
oct7517664
93688030
102006964
111150953
12809530
1355366b
143a3588
152999c9
hex1e9fb4

2006964 has 24 divisors (see below), whose sum is σ = 5203520. Its totient is φ = 668952.

The previous prime is 2006959. The next prime is 2007001. The reversal of 2006964 is 4696002.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9184 + ... + 9399.

22006964 is an apocalyptic number.

It is an amenable number.

2006964 is an abundant number, since it is smaller than the sum of its proper divisors (3196556).

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

2006964 is a wasteful number, since it uses less digits than its factorization.

2006964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18596 (or 18588 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2006964 is about 1416.6735686106. The cubic root of 2006964 is about 126.1381704237.

The spelling of 2006964 in words is "two million, six thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 18583 37166 55749 74332 111498 167247 222996 334494 501741 668988 1003482 2006964