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1006670670 = 2352311312911
BaseRepresentation
bin111100000000001…
…001001101001110
32121011020011112220
4330000021031032
54030201430140
6243520240210
733642362625
oct7400111516
92534204486
101006670670
1147726a635
12241170066
13130734525
14979a66bc
155d59cbd0
hex3c00934e

1006670670 has 64 divisors (see below), whose sum is σ = 2543560704. Its totient is φ = 254481920.

The previous prime is 1006670653. The next prime is 1006670701. The reversal of 1006670670 is 760766001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71515 + ... + 84425.

It is an arithmetic number, because the mean of its divisors is an integer number (39743136).

Almost surely, 21006670670 is an apocalyptic number.

1006670670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006670670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271780352).

1006670670 is an abundant number, since it is smaller than the sum of its proper divisors (1536890034).

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

1006670670 is a wasteful number, since it uses less digits than its factorization.

1006670670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13057.

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 1006670670 is about 31728.0738463588. The cubic root of 1006670670 is about 1002.2186307042.

The spelling of 1006670670 in words is "one billion, six million, six hundred seventy thousand, six hundred seventy".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 113 115 138 226 230 339 345 565 678 690 1130 1695 2599 3390 5198 7797 12911 12995 15594 25822 25990 38733 38985 64555 77466 77970 129110 193665 296953 387330 593906 890859 1458943 1484765 1781718 2917886 2969530 4376829 4454295 7294715 8753658 8908590 14589430 21884145 33555689 43768290 67111378 100667067 167778445 201334134 335556890 503335335 1006670670