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2116992 = 27337149
BaseRepresentation
bin1000000100110110000000
310222112222010
420010312000
51020220432
6113212520
723664663
oct10046600
93875863
102116992
111216589
12861140
13591777
143d16da
152bc3cc
hex204d80

2116992 has 64 divisors (see below), whose sum is σ = 5814000. Its totient is φ = 681984.

The previous prime is 2116991. The next prime is 2116997. The reversal of 2116992 is 2996112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2116991) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14134 + ... + 14282.

22116992 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 2116992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2907000).

2116992 is an abundant number, since it is smaller than the sum of its proper divisors (3697008).

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

2116992 is a wasteful number, since it uses less digits than its factorization.

2116992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 191 counting only the distinct ones).

The product of its digits is 1944, while the sum is 30.

The square root of 2116992 is about 1454.9886597496. The cubic root of 2116992 is about 128.4023795912.

The spelling of 2116992 in words is "two million, one hundred sixteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 149 192 222 296 298 384 444 447 592 596 888 894 1184 1192 1776 1788 2368 2384 3552 3576 4736 4768 5513 7104 7152 9536 11026 14208 14304 16539 19072 22052 28608 33078 44104 57216 66156 88208 132312 176416 264624 352832 529248 705664 1058496 2116992