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2059668 = 223513163
BaseRepresentation
bin111110110110110010100
310212122100000
413312312110
51011402133
6112051300
723335602
oct7666624
93778300
102059668
111187506
12833b30
13571650
143b8872
152aa413
hex1f6d94

2059668 has 72 divisors (see below), whose sum is σ = 5850208. Its totient is φ = 629856.

The previous prime is 2059661. The next prime is 2059697. The reversal of 2059668 is 8669502.

2059668 is a `hidden beast` number, since 2 + 0 + 596 + 68 = 666.

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 (2059661) 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 23 ways as a sum of consecutive naturals, for example, 12555 + ... + 12717.

22059668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2059668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2925104).

2059668 is an abundant number, since it is smaller than the sum of its proper divisors (3790540).

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

2059668 is a wasteful number, since it uses less digits than its factorization.

2059668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2059668 is about 1435.1543471000. The cubic root of 2059668 is about 127.2327968118.

The spelling of 2059668 in words is "two million, fifty-nine thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 163 234 243 324 326 351 468 486 489 652 702 972 978 1053 1404 1467 1956 2106 2119 2934 3159 4212 4238 4401 5868 6318 6357 8476 8802 12636 12714 13203 17604 19071 25428 26406 38142 39609 52812 57213 76284 79218 114426 158436 171639 228852 343278 514917 686556 1029834 2059668