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1066102506 = 23372596829
BaseRepresentation
bin111111100010110…
…110111011101010
32202022001121201000
4333202312323222
54140410240011
6253442135430
735263502400
oct7742667352
92668047630
101066102506
114a7872657
12259051576
1313cb429b1
14a1837470
15638dc356
hex3f8b6eea

1066102506 has 96 divisors (see below), whose sum is σ = 2803032000. Its totient is φ = 299394144.

The previous prime is 1066102469. The next prime is 1066102519. The reversal of 1066102506 is 6052016601.

It is a happy number.

It is a super-2 number, since 2×10661025062 = 2273149106598960072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1066102506.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152700 + ... + 159528.

It is an arithmetic number, because the mean of its divisors is an integer number (29198250).

Almost surely, 21066102506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1066102506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401516000).

1066102506 is an abundant number, since it is smaller than the sum of its proper divisors (1736929494).

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

1066102506 is a wasteful number, since it uses less digits than its factorization.

1066102506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6913 (or 6900 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1066102506 is about 32651.2251837508. The cubic root of 1066102506 is about 1021.5657440743.

The spelling of 1066102506 in words is "one billion, sixty-six million, one hundred two thousand, five hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 59 63 98 118 126 147 177 189 294 354 378 413 441 531 826 882 1062 1239 1323 1593 2478 2646 2891 3186 3717 5782 6829 7434 8673 11151 13658 17346 20487 22302 26019 40974 47803 52038 61461 78057 95606 122922 143409 156114 184383 286818 334621 368766 402911 430227 669242 805822 860454 1003863 1208733 1290681 2007726 2417466 2581362 2820377 3011589 3626199 5640754 6023178 7252398 8461131 9034767 10878597 16922262 18069534 19742639 21757194 25383393 39485278 50766786 59227917 76150179 118455834 152300358 177683751 355367502 533051253 1066102506