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2106343872 = 26331218949
BaseRepresentation
bin111110110001100…
…0100000111000000
312102210110100121000
41331203010013000
513303211000442
6545002132000
7103124425143
oct17543040700
95383410530
102106343872
11990a81366
124a94b1000
132774cc529
1415da5c05a
15c4dbbd4c
hex7d8c41c0

2106343872 has 56 divisors (see below), whose sum is σ = 6192266000. Its totient is φ = 702114048.

The previous prime is 2106343859. The next prime is 2106343873. The reversal of 2106343872 is 2783436012.

It is a happy number.

2106343872 is a `hidden beast` number, since 2 + 10 + 634 + 3 + 8 + 7 + 2 = 666.

2106343872 is nontrivially palindromic in base 15.

It is a super-2 number, since 2×21063438722 = 8873369014223904768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2106343873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 607747 + ... + 611202.

Almost surely, 22106343872 is an apocalyptic number.

It is an amenable number.

2106343872 is an abundant number, since it is smaller than the sum of its proper divisors (4085922128).

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

2106343872 is a wasteful number, since it uses less digits than its factorization.

2106343872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218970 (or 1218954 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2106343872 is about 45894.9220720550. The cubic root of 2106343872 is about 1281.8673655600.

Adding to 2106343872 its reverse (2783436012), we get a palindrome (4889779884).

The spelling of 2106343872 in words is "two billion, one hundred six million, three hundred forty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 1218949 2437898 3656847 4875796 7313694 9751592 10970541 14627388 19503184 21941082 29254776 32911623 39006368 43882164 58509552 65823246 78012736 87764328 117019104 131646492 175528656 234038208 263292984 351057312 526585968 702114624 1053171936 2106343872