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2131668 = 2232711769
BaseRepresentation
bin1000001000011011010100
311000022002200
420020123110
51021203133
6113404500
724055530
oct10103324
94008080
102131668
111226610
12869730
13598356
143d6bc0
152c1913
hex2086d4

2131668 has 72 divisors (see below), whose sum is σ = 6726720. Its totient is φ = 552960.

The previous prime is 2131651. The next prime is 2131669. The reversal of 2131668 is 8661312.

It is an Ulam number.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2388 + ... + 3156.

22131668 is an apocalyptic number.

2131668 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3363360).

2131668 is an abundant number, since it is smaller than the sum of its proper divisors (4595052).

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

2131668 is a wasteful number, since it uses less digits than its factorization.

2131668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 792 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 2131668 is about 1460.0232874855. The cubic root of 2131668 is about 128.6984121096.

It can be divided in two parts, 213 and 1668, that added together give a palindrome (1881).

The spelling of 2131668 in words is "two million, one hundred thirty-one thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 769 924 1386 1538 2307 2772 3076 4614 5383 6921 8459 9228 10766 13842 16149 16918 21532 25377 27684 32298 33836 48447 50754 59213 64596 76131 96894 101508 118426 152262 177639 193788 236852 304524 355278 532917 710556 1065834 2131668