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2109312 = 27321831
BaseRepresentation
bin1000000010111110000000
310222011102200
420002332000
51014444222
6113113200
723633412
oct10027600
93864380
102109312
111210837
12858800
1358b11a
143cc9b2
152b9eac
hex202f80

2109312 has 48 divisors (see below), whose sum is σ = 6073080. Its totient is φ = 702720.

The previous prime is 2109311. The next prime is 2109329. The reversal of 2109312 is 2139012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×21093122 = 8898394226688, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2109311) 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 5 ways as a sum of consecutive naturals, for example, 237 + ... + 2067.

22109312 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 2109312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3036540).

2109312 is an abundant number, since it is smaller than the sum of its proper divisors (3963768).

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

2109312 is a wasteful number, since it uses less digits than its factorization.

2109312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1851 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 2109312 is about 1452.3470659591. The cubic root of 2109312 is about 128.2469192060.

It can be divided in two parts, 21093 and 12, that multiplied together give a triangular number (253116 = T711).

The spelling of 2109312 in words is "two million, one hundred nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1831 3662 5493 7324 10986 14648 16479 21972 29296 32958 43944 58592 65916 87888 117184 131832 175776 234368 263664 351552 527328 703104 1054656 2109312