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2068632 = 233361157
BaseRepresentation
bin111111001000010011000
310220002122000
413321002120
51012144012
6112201000
723403666
oct7710230
93802560
102068632
111193215
12839160
13575757
143bbc36
152acddc
hex1f9098

2068632 has 64 divisors (see below), whose sum is σ = 5877600. Its totient is φ = 673920.

The previous prime is 2068607. The next prime is 2068637. The reversal of 2068632 is 2368602.

2068632 is a `hidden beast` number, since 20 + 6 + 8 + 632 = 666.

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

It is an Ulam number.

2068632 is an undulating number in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 2068596 and 2068605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2068637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13098 + ... + 13254.

22068632 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 2068632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2938800).

2068632 is an abundant number, since it is smaller than the sum of its proper divisors (3808968).

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

2068632 is a wasteful number, since it uses less digits than its factorization.

2068632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2068632 is about 1438.2739655573. The cubic root of 2068632 is about 127.4171087516.

The spelling of 2068632 in words is "two million, sixty-eight thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 108 122 157 183 216 244 314 366 471 488 549 628 732 942 1098 1256 1413 1464 1647 1884 2196 2826 3294 3768 4239 4392 5652 6588 8478 9577 11304 13176 16956 19154 28731 33912 38308 57462 76616 86193 114924 172386 229848 258579 344772 517158 689544 1034316 2068632