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1670005216 = 251123113913
BaseRepresentation
bin110001110001010…
…0100000111100000
311022101102001111001
41203202210013200
511410010131331
6433414001344
756245544605
oct14342440740
94271361431
101670005216
11787746700
123a7346254
13207ca6a89
1411bb186ac
159b92b561
hex638a41e0

1670005216 has 72 divisors (see below), whose sum is σ = 3730732992. Its totient is φ = 734553600.

The previous prime is 1670005201. The next prime is 1670005243. The reversal of 1670005216 is 6125000761.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113076 + ... + 126988.

It is an arithmetic number, because the mean of its divisors is an integer number (51815736).

Almost surely, 21670005216 is an apocalyptic number.

1670005216 is a gapful number since it is divisible by the number (16) 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 1670005216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865366496).

1670005216 is an abundant number, since it is smaller than the sum of its proper divisors (2060727776).

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

1670005216 is a wasteful number, since it uses less digits than its factorization.

1670005216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13976 (or 13957 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 1670005216 is about 40865.6973022607. The cubic root of 1670005216 is about 1186.4222310713.

Adding to 1670005216 its reverse (6125000761), we get a palindrome (7795005977).

The spelling of 1670005216 in words is "one billion, six hundred seventy million, five thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 121 124 176 242 248 341 352 484 496 682 968 992 1364 1936 2728 3751 3872 5456 7502 10912 13913 15004 27826 30008 55652 60016 111304 120032 153043 222608 306086 431303 445216 612172 862606 1224344 1683473 1725212 2448688 3366946 3450424 4744333 4897376 6733892 6900848 9488666 13467784 13801696 18977332 26935568 37954664 52187663 53871136 75909328 104375326 151818656 208750652 417501304 835002608 1670005216