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1066260120 = 2335103281307
BaseRepresentation
bin111111100011011…
…101011010011000
32202022100121220120
4333203131122120
54140430310440
6253445353240
735265030042
oct7743353230
92668317816
101066260120
114a7970012
12259108820
1313cb99663
14a1878a92
156391ddd0
hex3f8dd698

1066260120 has 128 divisors (see below), whose sum is σ = 3251888640. Its totient is φ = 279659520.

The previous prime is 1066260113. The next prime is 1066260149. The reversal of 1066260120 is 210626601.

It is a super-2 number, since 2×10662601202 = 2273821287004828800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3473007 + ... + 3473313.

It is an arithmetic number, because the mean of its divisors is an integer number (25405380).

Almost surely, 21066260120 is an apocalyptic number.

1066260120 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 1066260120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625944320).

1066260120 is an abundant number, since it is smaller than the sum of its proper divisors (2185628520).

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

1066260120 is a wasteful number, since it uses less digits than its factorization.

1066260120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1066260120 is about 32653.6386946386. The cubic root of 1066260120 is about 1021.6160848024.

Adding to 1066260120 its reverse (210626601), we get a palindrome (1276886721).

The spelling of 1066260120 in words is "one billion, sixty-six million, two hundred sixty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 103 120 206 281 307 309 412 515 562 614 618 824 843 921 1030 1124 1228 1236 1405 1535 1545 1686 1842 2060 2248 2456 2472 2810 3070 3090 3372 3684 4120 4215 4605 5620 6140 6180 6744 7368 8430 9210 11240 12280 12360 16860 18420 28943 31621 33720 36840 57886 63242 86267 86829 94863 115772 126484 144715 158105 172534 173658 189726 231544 252968 258801 289430 316210 345068 347316 379452 431335 434145 474315 517602 578860 632420 690136 694632 758904 862670 868290 948630 1035204 1157720 1264840 1294005 1725340 1736580 1897260 2070408 2588010 3450680 3473160 3794520 5176020 8885501 10352040 17771002 26656503 35542004 44427505 53313006 71084008 88855010 106626012 133282515 177710020 213252024 266565030 355420040 533130060 1066260120