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1066020992 = 27194110691
BaseRepresentation
bin111111100010100…
…011000010000000
32202021220110212222
4333202203002000
54140400132432
6253440310212
735263012631
oct7742430200
92667813788
101066020992
114a7817393
12259012368
1313cb1486a
14a1815888
15638c3112
hex3f8a3080

1066020992 has 64 divisors (see below), whose sum is σ = 2290226400. Its totient is φ = 492595200.

The previous prime is 1066020961. The next prime is 1066021003. The reversal of 1066020992 is 2990206601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10660209922 = 2272801510769328128, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94367 + ... + 105057.

Almost surely, 21066020992 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 1066020992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145113200).

1066020992 is an abundant number, since it is smaller than the sum of its proper divisors (1224205408).

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

1066020992 is a wasteful number, since it uses less digits than its factorization.

1066020992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10765 (or 10753 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 1066020992 is about 32649.9769065768. The cubic root of 1066020992 is about 1021.5397071682.

The spelling of 1066020992 in words is "one billion, sixty-six million, twenty thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 19 32 38 41 64 76 82 128 152 164 304 328 608 656 779 1216 1312 1558 2432 2624 3116 5248 6232 10691 12464 21382 24928 42764 49856 85528 99712 171056 203129 342112 406258 438331 684224 812516 876662 1368448 1625032 1753324 3250064 3506648 6500128 7013296 8328289 13000256 14026592 16656578 26000512 28053184 33313156 56106368 66626312 133252624 266505248 533010496 1066020992