Search a number
-
+
2107824 = 24343913
BaseRepresentation
bin1000000010100110110000
310222002101120
420002212300
51014422244
6113102240
723626155
oct10024660
93862346
102107824
11120a704
12857980
1358a544
143cc22c
152b9819
hex2029b0

2107824 has 20 divisors (see below), whose sum is σ = 5445336. Its totient is φ = 702592.

The previous prime is 2107811. The next prime is 2107837. The reversal of 2107824 is 4287012.

It is an interprime number because it is at equal distance from previous prime (2107811) and next prime (2107837).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2107794 and 2107803.

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 3 ways as a sum of consecutive naturals, for example, 21909 + ... + 22004.

22107824 is an apocalyptic number.

2107824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2107824 is an abundant number, since it is smaller than the sum of its proper divisors (3337512).

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

2107824 is a wasteful number, since it uses less digits than its factorization.

2107824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43924 (or 43918 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 2107824 is about 1451.8347013348. The cubic root of 2107824 is about 128.2167551356.

The spelling of 2107824 in words is "two million, one hundred seven thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 43913 87826 131739 175652 263478 351304 526956 702608 1053912 2107824