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2110368 = 253131989
BaseRepresentation
bin1000000011001110100000
310222012212210
420003032200
51020012433
6113122120
723636451
oct10031640
93865783
102110368
111211607
12859340
1358b750
143cd128
152ba463
hex2033a0

2110368 has 96 divisors (see below), whose sum is σ = 6350400. Its totient is φ = 608256.

The previous prime is 2110351. The next prime is 2110391. The reversal of 2110368 is 8630112.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23668 + ... + 23756.

It is an arithmetic number, because the mean of its divisors is an integer number (66150).

22110368 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 2110368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3175200).

2110368 is an abundant number, since it is smaller than the sum of its proper divisors (4240032).

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

2110368 is a wasteful number, since it uses less digits than its factorization.

2110368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 126 counting only the distinct ones).

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

The square root of 2110368 is about 1452.7105699347. The cubic root of 2110368 is about 128.2683173606.

The spelling of 2110368 in words is "two million, one hundred ten thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 76 78 89 96 104 114 152 156 178 208 228 247 267 304 312 356 416 456 494 534 608 624 712 741 912 988 1068 1157 1248 1424 1482 1691 1824 1976 2136 2314 2848 2964 3382 3471 3952 4272 4628 5073 5928 6764 6942 7904 8544 9256 10146 11856 13528 13884 18512 20292 21983 23712 27056 27768 37024 40584 43966 54112 55536 65949 81168 87932 111072 131898 162336 175864 263796 351728 527592 703456 1055184 2110368