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2106007552 = 2131123371
BaseRepresentation
bin111110110000111…
…0010000000000000
312102202211021020201
41331201302000000
513303114220202
6544551014544
7103121524465
oct17541620000
95382737221
102106007552
11990871710
124a936a454
1327741241c
1415d9b166c
15c4d52387
hex7d872000

2106007552 has 56 divisors (see below), whose sum is σ = 4594841712. Its totient is φ = 957235200.

The previous prime is 2106007507. The next prime is 2106007567. The reversal of 2106007552 is 2557006012.

It is a self number, because there is not a number n which added to its sum of digits gives 2106007552.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 78427 + ... + 101797.

Almost surely, 22106007552 is an apocalyptic number.

2106007552 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2106007552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2297420856).

2106007552 is an abundant number, since it is smaller than the sum of its proper divisors (2488834160).

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

2106007552 is an equidigital number, since it uses as much as digits as its factorization.

2106007552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23408 (or 23384 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 2106007552 is about 45891.2579038753. The cubic root of 2106007552 is about 1281.7991366594.

The spelling of 2106007552 in words is "two billion, one hundred six million, seven thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2048 2816 4096 5632 8192 11264 22528 23371 45056 46742 90112 93484 186968 257081 373936 514162 747872 1028324 1495744 2056648 2991488 4113296 5982976 8226592 11965952 16453184 23931904 32906368 47863808 65812736 95727616 131625472 191455232 263250944 526501888 1053003776 2106007552