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1070422680 = 233517647811
BaseRepresentation
bin111111110011010…
…101101010011000
32202121012002212110
4333303111222120
54143012011210
6254114512320
735345304555
oct7763255230
92677162773
101070422680
114aa253448
1225a5956a0
131409c6202
14a223da2c
1563e92420
hex3fcd5a98

1070422680 has 128 divisors (see below), whose sum is σ = 3409620480. Its totient is φ = 267909120.

The previous prime is 1070422679. The next prime is 1070422681. The reversal of 1070422680 is 862240701.

It is an interprime number because it is at equal distance from previous prime (1070422679) and next prime (1070422681).

It is a super-2 number, since 2×10704226802 = 2291609427716764800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1070422681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1319475 + ... + 1320285.

It is an arithmetic number, because the mean of its divisors is an integer number (26637660).

Almost surely, 21070422680 is an apocalyptic number.

1070422680 is a gapful number since it is divisible by the number (10) 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 1070422680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704810240).

1070422680 is an abundant number, since it is smaller than the sum of its proper divisors (2339197800).

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

1070422680 is a wasteful number, since it uses less digits than its factorization.

1070422680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 1070422680 is about 32717.3146819845. The cubic root of 1070422680 is about 1022.9437834662.

The spelling of 1070422680 in words is "one billion, seventy million, four hundred twenty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 647 680 811 1020 1294 1622 1941 2040 2433 2588 3235 3244 3882 4055 4866 5176 6470 6488 7764 8110 9705 9732 10999 12165 12940 13787 15528 16220 19410 19464 21998 24330 25880 27574 32440 32997 38820 41361 43996 48660 54995 55148 65994 68935 77640 82722 87992 97320 109990 110296 131988 137870 164985 165444 206805 219980 263976 275740 329970 330888 413610 439960 524717 551480 659940 827220 1049434 1319880 1574151 1654440 2098868 2623585 3148302 4197736 5247170 6296604 7870755 8920189 10494340 12593208 15741510 17840378 20988680 26760567 31483020 35680756 44600945 53521134 62966040 71361512 89201890 107042268 133802835 178403780 214084536 267605670 356807560 535211340 1070422680