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1066116376 = 231317279449
BaseRepresentation
bin111111100010111…
…010010100011000
32202022002022201201
4333202322110120
54140411211001
6253442323544
735263561003
oct7742722430
92668068651
101066116376
114a7882016
122590595b4
1313cb490c0
14a183c53a
15638e1501
hex3f8ba518

1066116376 has 96 divisors (see below), whose sum is σ = 2320920000. Its totient is φ = 456228864.

The previous prime is 1066116341. The next prime is 1066116377. The reversal of 1066116376 is 6736116601.

It is a super-2 number, since 2×10661163762 = 2273208254350746752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066116377) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2374200 + ... + 2374648.

It is an arithmetic number, because the mean of its divisors is an integer number (24176250).

Almost surely, 21066116376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1066116376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160460000).

1066116376 is an abundant number, since it is smaller than the sum of its proper divisors (1254803624).

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

1066116376 is a wasteful number, since it uses less digits than its factorization.

1066116376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 1066116376 is about 32651.4375793777. The cubic root of 1066116376 is about 1021.5701742472.

The spelling of 1066116376 in words is "one billion, sixty-six million, one hundred sixteen thousand, three hundred seventy-six".

Divisors: 1 2 4 8 13 17 26 34 52 68 79 104 136 158 221 289 316 442 449 578 632 884 898 1027 1156 1343 1768 1796 2054 2312 2686 3592 3757 4108 5372 5837 7514 7633 8216 10744 11674 15028 15266 17459 22831 23348 30056 30532 34918 35471 45662 46696 61064 69836 70942 91324 99229 129761 139672 141884 182648 198458 259522 283768 296803 396916 461123 519044 593606 603007 793832 922246 1038088 1187212 1206014 1686893 1844492 2374424 2412028 3373786 3688984 4824056 6747572 7839091 10251119 13495144 15678182 20502238 31356364 41004476 62712728 82008952 133264547 266529094 533058188 1066116376