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1066664120 = 235313767347
BaseRepresentation
bin111111100101000…
…000000010111000
32202100010011002112
4333211000002320
54141031222440
6253502151452
735301331634
oct7745000270
92670104075
101066664120
114a81165a5
12259282588
1313ccab502
14a1941dc4
156399d965
hex3f9400b8

1066664120 has 128 divisors (see below), whose sum is σ = 2589788160. Its totient is φ = 394606080.

The previous prime is 1066664069. The next prime is 1066664129. The reversal of 1066664120 is 214666601.

It is a super-2 number, since 2×10666641202 = 2275544689790748800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066664129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3073787 + ... + 3074133.

It is an arithmetic number, because the mean of its divisors is an integer number (20232720).

Almost surely, 21066664120 is an apocalyptic number.

1066664120 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 1066664120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294894080).

1066664120 is an abundant number, since it is smaller than the sum of its proper divisors (1523124040).

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

1066664120 is a wasteful number, since it uses less digits than its factorization.

1066664120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 1066664120 is about 32659.8242493740. The cubic root of 1066664120 is about 1021.7450967180.

The spelling of 1066664120 in words is "one billion, sixty-six million, six hundred sixty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 37 40 62 67 74 124 134 148 155 185 248 268 296 310 335 347 370 536 620 670 694 740 1147 1240 1340 1388 1480 1735 2077 2294 2479 2680 2776 3470 4154 4588 4958 5735 6940 8308 9176 9916 10385 10757 11470 12395 12839 13880 16616 19832 20770 21514 22940 23249 24790 25678 41540 43028 45880 46498 49580 51356 53785 64195 76849 83080 86056 92996 99160 102712 107570 116245 128390 153698 185992 215140 232490 256780 307396 384245 398009 430280 464980 513560 614792 720719 768490 796018 860213 929960 1441438 1536980 1592036 1720426 1990045 2882876 3073960 3184072 3440852 3603595 3980090 4301065 5765752 6881704 7207190 7960180 8602130 14414380 15920360 17204260 26666603 28828760 34408520 53333206 106666412 133333015 213332824 266666030 533332060 1066664120