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2146116 = 223729881
BaseRepresentation
bin1000001011111101000100
311001000220210
420023331010
51022133431
6113555420
724145620
oct10137504
94030823
102146116
111236455
12875b70
135a1abb
143dc180
152c5d46
hex20bf44

2146116 has 48 divisors (see below), whose sum is σ = 5927040. Its totient is φ = 591360.

The previous prime is 2146103. The next prime is 2146139. The reversal of 2146116 is 6116412.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2146092 and 2146101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1996 + ... + 2876.

It is an arithmetic number, because the mean of its divisors is an integer number (123480).

22146116 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 2146116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2963520).

2146116 is an abundant number, since it is smaller than the sum of its proper divisors (3780924).

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

2146116 is a wasteful number, since it uses less digits than its factorization.

2146116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 922 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 2146116 is about 1464.9627981625. The cubic root of 2146116 is about 128.9885213030.

The spelling of 2146116 in words is "two million, one hundred forty-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 609 812 881 1218 1762 2436 2643 3524 5286 6167 10572 12334 18501 24668 25549 37002 51098 74004 76647 102196 153294 178843 306588 357686 536529 715372 1073058 2146116