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2107464 = 23387811
BaseRepresentation
bin1000000010100001001000
310222001220020
420002201020
51014414324
6113100440
723625132
oct10024110
93861806
102107464
11120a407
12857720
1358a328
143cc052
152b9679
hex202848

2107464 has 16 divisors (see below), whose sum is σ = 5268720. Its totient is φ = 702480.

The previous prime is 2107451. The next prime is 2107529. The reversal of 2107464 is 4647012.

It is a super-2 number, since 2×21074642 = 8882809022592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 87811 = 2107464 / (2 + 1 + 0 + 7 + 4 + 6 + 4).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43882 + ... + 43929.

It is an arithmetic number, because the mean of its divisors is an integer number (329295).

22107464 is an apocalyptic number.

2107464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2107464 is an abundant number, since it is smaller than the sum of its proper divisors (3161256).

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

2107464 is a wasteful number, since it uses less digits than its factorization.

2107464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87820 (or 87816 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2107464 is about 1451.7107149842. The cubic root of 2107464 is about 128.2094552440.

The spelling of 2107464 in words is "two million, one hundred seven thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 87811 175622 263433 351244 526866 702488 1053732 2107464