Search a number
-
+
1066122320 = 245107269463
BaseRepresentation
bin111111100010111…
…011110001010000
32202022002121212212
4333202323301100
54140411403240
6253442411252
735263614224
oct7742736120
92668077785
101066122320
114a788652a
12259060b28
1313cb4ba13
14a1840784
15638e3165
hex3f8bbc50

1066122320 has 80 divisors (see below), whose sum is σ = 2516624640. Its totient is φ = 419983872.

The previous prime is 1066122293. The next prime is 1066122341. The reversal of 1066122320 is 232216601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10661223202 = 2273233602404364800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2302409 + ... + 2302871.

It is an arithmetic number, because the mean of its divisors is an integer number (31457808).

Almost surely, 21066122320 is an apocalyptic number.

1066122320 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 1066122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258312320).

1066122320 is an abundant number, since it is smaller than the sum of its proper divisors (1450502320).

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

1066122320 is a wasteful number, since it uses less digits than its factorization.

1066122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 1066122320 is about 32651.5286012768. The cubic root of 1066122320 is about 1021.5720727898.

Adding to 1066122320 its reverse (232216601), we get a palindrome (1298338921).

The spelling of 1066122320 in words is "one billion, sixty-six million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 107 214 269 428 463 535 538 856 926 1070 1076 1345 1712 1852 2140 2152 2315 2690 3704 4280 4304 4630 5380 7408 8560 9260 10760 18520 21520 28783 37040 49541 57566 99082 115132 124547 143915 198164 230264 247705 249094 287830 396328 460528 495410 498188 575660 622735 792656 990820 996376 1151320 1245470 1981640 1992752 2302640 2490940 3963280 4981880 9963760 13326529 26653058 53306116 66632645 106612232 133265290 213224464 266530580 533061160 1066122320