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1066680108 = 22321323412417
BaseRepresentation
bin111111100101000…
…011111100101100
32202100010222000200
4333211003330230
54141032230413
6253502353500
735301426354
oct7745037454
92670128020
101066680108
114a812760a
1225928b890
1313ccb5880
14a1947b64
15639a3573
hex3f943f2c

1066680108 has 144 divisors (see below), whose sum is σ = 3105176256. Its totient is φ = 306155520.

The previous prime is 1066680107. The next prime is 1066680127. The reversal of 1066680108 is 8010866601.

It is a super-2 number, since 2×10666801082 = 2275612905605783328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1066680101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 440116 + ... + 442532.

It is an arithmetic number, because the mean of its divisors is an integer number (21563724).

Almost surely, 21066680108 is an apocalyptic number.

1066680108 is a gapful number since it is divisible by the number (18) 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 1066680108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552588128).

1066680108 is an abundant number, since it is smaller than the sum of its proper divisors (2038496148).

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

1066680108 is a wasteful number, since it uses less digits than its factorization.

1066680108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2504 (or 2499 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1066680108 is about 32660.0690140116. The cubic root of 1066680108 is about 1021.7502015986.

The spelling of 1066680108 in words is "one billion, sixty-six million, six hundred eighty thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 41 46 52 69 78 82 92 117 123 138 156 164 207 234 246 276 299 369 414 468 492 533 598 738 828 897 943 1066 1196 1476 1599 1794 1886 2132 2417 2691 2829 3198 3588 3772 4797 4834 5382 5658 6396 7251 8487 9594 9668 10764 11316 12259 14502 16974 19188 21753 24518 29004 31421 33948 36777 43506 49036 55591 62842 73554 87012 94263 99097 110331 111182 125684 147108 166773 188526 198194 220662 222364 282789 297291 333546 377052 396388 441324 500319 565578 594582 667092 722683 891873 1000638 1131156 1189164 1288261 1445366 1783746 2001276 2168049 2279231 2576522 2890732 3567492 3864783 4336098 4558462 5153044 6504147 6837693 7729566 8672196 9116924 11594349 13008294 13675386 15459132 20513079 23188698 26016588 27350772 29630003 41026158 46377396 59260006 82052316 88890009 118520012 177780018 266670027 355560036 533340054 1066680108