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2116600 = 235219557
BaseRepresentation
bin1000000100101111111000
310222112102121
420010233320
51020212400
6113211024
723663563
oct10045770
93875377
102116600
111216262
12860a74
13591535
143d14da
152bc21a
hex204bf8

2116600 has 48 divisors (see below), whose sum is σ = 5189400. Its totient is φ = 800640.

The previous prime is 2116591. The next prime is 2116601. The reversal of 2116600 is 66112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2116601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3522 + ... + 4078.

22116600 is an apocalyptic number.

2116600 is a gapful number since it is divisible by the number (20) 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 2116600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2594700).

2116600 is an abundant number, since it is smaller than the sum of its proper divisors (3072800).

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

2116600 is a wasteful number, since it uses less digits than its factorization.

2116600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 2116600 is about 1454.8539445594. The cubic root of 2116600 is about 128.3944537480.

The spelling of 2116600 in words is "two million, one hundred sixteen thousand, six hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 557 760 950 1114 1900 2228 2785 3800 4456 5570 10583 11140 13925 21166 22280 27850 42332 52915 55700 84664 105830 111400 211660 264575 423320 529150 1058300 2116600