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2106351024 = 24357377649
BaseRepresentation
bin111110110001100…
…0101110110110000
312102210110201101220
41331203011312300
513303211213044
6545002225040
7103124455041
oct17543056660
95383421356
102106351024
11990a86778
124a94b5180
1327750286b
1415da608c8
15c4dbe019
hex7d8c5db0

2106351024 has 40 divisors (see below), whose sum is σ = 5443066800. Its totient is φ = 701902848.

The previous prime is 2106351019. The next prime is 2106351041. The reversal of 2106351024 is 4201536012.

It is a Cunningham number, because it is equal to 458952-1.

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 = 2106350985 and 2106351003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 271552 + ... + 279200.

It is an arithmetic number, because the mean of its divisors is an integer number (136076670).

Almost surely, 22106351024 is an apocalyptic number.

2106351024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2106351024 is an abundant number, since it is smaller than the sum of its proper divisors (3336715776).

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

2106351024 is a wasteful number, since it uses less digits than its factorization.

2106351024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13397 (or 13391 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2106351024 is about 45894.9999891056. Note that the first 4 decimals coincide. The cubic root of 2106351024 is about 1281.8688164002.

Adding to 2106351024 its reverse (4201536012), we get a palindrome (6307887036).

The spelling of 2106351024 in words is "two billion, one hundred six million, three hundred fifty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 5737 7649 11474 15298 17211 22947 22948 30596 34422 45894 45896 61192 68844 91788 91792 122384 137688 183576 275376 367152 43882313 87764626 131646939 175529252 263293878 351058504 526587756 702117008 1053175512 2106351024