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1066019864 = 2371311291297
BaseRepresentation
bin111111100010100…
…010110000011000
32202021220102100012
4333202202300120
54140400113424
6253440301052
735263006430
oct7742426030
92667812305
101066019864
114a7816558
12259011788
1313cb141b0
14a18152c0
15638c2b0e
hex3f8a2c18

1066019864 has 64 divisors (see below), whose sum is σ = 2464123200. Its totient is φ = 421023744.

The previous prime is 1066019863. The next prime is 1066019869. The reversal of 1066019864 is 4689106601.

It is a super-2 number, since 2×10660198642 = 2272796700885156992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066019861) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 821264 + ... + 822560.

It is an arithmetic number, because the mean of its divisors is an integer number (38501925).

Almost surely, 21066019864 is an apocalyptic number.

1066019864 is a gapful number since it is divisible by the number (14) 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 1066019864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232061600).

1066019864 is an abundant number, since it is smaller than the sum of its proper divisors (1398103336).

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

1066019864 is a wasteful number, since it uses less digits than its factorization.

1066019864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2452 (or 2448 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The square root of 1066019864 is about 32649.9596324406. The cubic root of 1066019864 is about 1021.5393468572.

The spelling of 1066019864 in words is "one billion, sixty-six million, nineteen thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 1129 1297 2258 2594 4516 5188 7903 9032 9079 10376 14677 15806 16861 18158 29354 31612 33722 36316 58708 63224 67444 72632 102739 117416 118027 134888 205478 236054 410956 472108 821912 944216 1464313 2928626 5857252 10250191 11714504 19036069 20500382 38072138 41000764 76144276 82001528 133252483 152288552 266504966 533009932 1066019864