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1006670730 = 2351319731861
BaseRepresentation
bin111100000000001…
…001001110001010
32121011020011122010
4330000021032022
54030201430410
6243520240350
733642363042
oct7400111612
92534204563
101006670730
1147726a68a
122411700b6
13130734570
14979a6722
155d59cc20
hex3c00938a

1006670730 has 128 divisors (see below), whose sum is σ = 2777806080. Its totient is φ = 231413760.

The previous prime is 1006670701. The next prime is 1006670741. The reversal of 1006670730 is 370766001.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 540000 + ... + 541860.

It is an arithmetic number, because the mean of its divisors is an integer number (21701610).

Almost surely, 21006670730 is an apocalyptic number.

1006670730 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 1006670730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388903040).

1006670730 is an abundant number, since it is smaller than the sum of its proper divisors (1771135350).

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

1006670730 is a wasteful number, since it uses less digits than its factorization.

1006670730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976.

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 1006670730 is about 31728.0747918937. The cubic root of 1006670730 is about 1002.2186506157.

The spelling of 1006670730 in words is "one billion, six million, six hundred seventy thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 57 65 73 78 95 114 130 146 190 195 219 247 285 365 390 438 494 570 730 741 949 1095 1235 1387 1482 1861 1898 2190 2470 2774 2847 3705 3722 4161 4745 5583 5694 6935 7410 8322 9305 9490 11166 13870 14235 18031 18610 20805 24193 27915 28470 35359 36062 41610 48386 54093 55830 70718 72579 90155 106077 108186 120965 135853 145158 176795 180310 212154 241930 270465 271706 353590 362895 407559 459667 530385 540930 679265 725790 815118 919334 1060770 1358530 1379001 1766089 2037795 2298335 2581207 2758002 3532178 4075590 4596670 5162414 5298267 6895005 7743621 8830445 10596534 12906035 13790010 15487242 17660890 25812070 26491335 33555691 38718105 52982670 67111382 77436210 100667073 167778455 201334146 335556910 503335365 1006670730