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2923116 = 2237172389
BaseRepresentation
bin1011001001101001101100
312111111202120
423021221230
51222014431
6142352540
733563130
oct13115154
95444676
102923116
1117171a9
12b8b750
137b4671
145613c0
153cb196
hex2c9a6c

2923116 has 96 divisors (see below), whose sum is σ = 8709120. Its totient is φ = 743424.

The previous prime is 2923103. The next prime is 2923121. The reversal of 2923116 is 6113292.

2923116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32800 + ... + 32888.

It is an arithmetic number, because the mean of its divisors is an integer number (90720).

22923116 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 2923116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354560).

2923116 is an abundant number, since it is smaller than the sum of its proper divisors (5786004).

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

2923116 is a wasteful number, since it uses less digits than its factorization.

2923116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 141 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

The square root of 2923116 is about 1709.7122564923. The cubic root of 2923116 is about 142.9822137071.

The spelling of 2923116 in words is "two million, nine hundred twenty-three thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 17 21 23 28 34 42 46 51 68 69 84 89 92 102 119 138 161 178 204 238 267 276 322 356 357 391 476 483 534 623 644 714 782 966 1068 1173 1246 1428 1513 1564 1869 1932 2047 2346 2492 2737 3026 3738 4094 4539 4692 5474 6052 6141 7476 8188 8211 9078 10591 10948 12282 14329 16422 18156 21182 24564 28658 31773 32844 34799 42364 42987 57316 63546 69598 85974 104397 127092 139196 171948 208794 243593 417588 487186 730779 974372 1461558 2923116