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1670406012 = 2232114319787
BaseRepresentation
bin110001110010000…
…0101111101111100
311022102011102021100
41203210011331330
511410110443022
6433430333100
756252134242
oct14344057574
94272142240
101670406012
1178799a840
123a74ba190
132080b7332
1411bbc0792
159b9aa1ac
hex63905f7c

1670406012 has 72 divisors (see below), whose sum is σ = 4617430272. Its totient is φ = 504957600.

The previous prime is 1670406007. The next prime is 1670406013. The reversal of 1670406012 is 2106040761.

1670406012 is a `hidden beast` number, since 16 + 7 + 0 + 40 + 601 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1670406013) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 165783 + ... + 175569.

It is an arithmetic number, because the mean of its divisors is an integer number (64130976).

Almost surely, 21670406012 is an apocalyptic number.

1670406012 is a gapful number since it is divisible by the number (12) 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 1670406012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2308715136).

1670406012 is an abundant number, since it is smaller than the sum of its proper divisors (2947024260).

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

1670406012 is a wasteful number, since it uses less digits than its factorization.

1670406012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10239 (or 10234 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1670406012 is about 40870.6008274897. The cubic root of 1670406012 is about 1186.5171360142.

Adding to 1670406012 its reverse (2106040761), we get a palindrome (3776446773).

The spelling of 1670406012 in words is "one billion, six hundred seventy million, four hundred six thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 431 862 1293 1724 2586 3879 4741 5172 7758 9482 9787 14223 15516 18964 19574 28446 29361 39148 42669 56892 58722 85338 88083 107657 117444 170676 176166 215314 322971 352332 430628 645942 968913 1291884 1937826 3875652 4218197 8436394 12654591 16872788 25309182 37963773 46400167 50618364 75927546 92800334 139200501 151855092 185600668 278401002 417601503 556802004 835203006 1670406012