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2107812 = 2237231091
BaseRepresentation
bin1000000010100110100100
310222002101010
420002212210
51014422222
6113102220
723626140
oct10024644
93862333
102107812
11120a6a3
12857970
1358a535
143cc220
152b980c
hex2029a4

2107812 has 48 divisors (see below), whose sum is σ = 5870592. Its totient is φ = 575520.

The previous prime is 2107811. The next prime is 2107837. The reversal of 2107812 is 2187012.

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

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (2107811) by changing a digit.

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, 1387 + ... + 2477.

It is an arithmetic number, because the mean of its divisors is an integer number (122304).

22107812 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 2107812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2935296).

2107812 is an abundant number, since it is smaller than the sum of its proper divisors (3762780).

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

2107812 is a wasteful number, since it uses less digits than its factorization.

2107812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 2107812 is about 1451.8305686271. The cubic root of 2107812 is about 128.2165118193.

The spelling of 2107812 in words is "two million, one hundred seven thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 644 966 1091 1932 2182 3273 4364 6546 7637 13092 15274 22911 25093 30548 45822 50186 75279 91644 100372 150558 175651 301116 351302 526953 702604 1053906 2107812