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2110420032 = 26372296857
BaseRepresentation
bin111110111001010…
…0111010001000000
312110002010110000220
41331302213101000
513310231420112
6545225343040
7103204163040
oct17562472100
95402113026
102110420032
11993305896
124aa937a80
132782c8966
141603dd720
15c542498c
hex7dca7440

2110420032 has 112 divisors (see below), whose sum is σ = 6410309760. Its totient is φ = 600256512.

The previous prime is 2110419973. The next prime is 2110420043. The reversal of 2110420032 is 2300240112.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×21104200322 = 8907745422933762048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2110419993 and 2110420020.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 304348 + ... + 311204.

Almost surely, 22110420032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2110420032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3205154880).

2110420032 is an abundant number, since it is smaller than the sum of its proper divisors (4299889728).

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

2110420032 is a wasteful number, since it uses less digits than its factorization.

2110420032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7108 (or 7098 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2110420032 is about 45939.3081358438. The cubic root of 2110420032 is about 1282.6937152148.

Adding to 2110420032 its reverse (2300240112), we get a palindrome (4410660144).

The spelling of 2110420032 in words is "two billion, one hundred ten million, four hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 229 336 448 458 672 687 916 1344 1374 1603 1832 2748 3206 3664 4809 5496 6412 6857 7328 9618 10992 12824 13714 14656 19236 20571 21984 25648 27428 38472 41142 43968 47999 51296 54856 76944 82284 95998 102592 109712 143997 153888 164568 191996 219424 287994 307776 329136 383992 438848 575988 658272 767984 1151976 1316544 1535968 1570253 2303952 3071936 3140506 4607904 4710759 6281012 9215808 9421518 10991771 12562024 18843036 21983542 25124048 32975313 37686072 43967084 50248096 65950626 75372144 87934168 100496192 131901252 150744288 175868336 263802504 301488576 351736672 527605008 703473344 1055210016 2110420032