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1059690112 = 27133120543
BaseRepresentation
bin111111001010011…
…001011010000000
32201211222211112221
4333022121122000
54132240040422
6253052500424
735155134355
oct7712313200
92654884487
101059690112
114a4192958
12256a7a714
1313b709090
14a0a4862c
15630723c7
hex3f299680

1059690112 has 64 divisors (see below), whose sum is σ = 2346946560. Its totient is φ = 473287680.

The previous prime is 1059690103. The next prime is 1059690127. The reversal of 1059690112 is 2110969501.

It is a happy number.

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

It is a super-2 number, since 2×10596901122 = 2245886266941145088, 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, 41313 + ... + 61855.

It is an arithmetic number, because the mean of its divisors is an integer number (36671040).

Almost surely, 21059690112 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 1059690112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173473280).

1059690112 is an abundant number, since it is smaller than the sum of its proper divisors (1287256448).

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

1059690112 is a wasteful number, since it uses less digits than its factorization.

1059690112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20601 (or 20589 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 34.

The square root of 1059690112 is about 32552.8817771945. The cubic root of 1059690112 is about 1019.5134524304.

The spelling of 1059690112 in words is "one billion, fifty-nine million, six hundred ninety thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 403 416 496 806 832 992 1612 1664 1984 3224 3968 6448 12896 20543 25792 41086 51584 82172 164344 267059 328688 534118 636833 657376 1068236 1273666 1314752 2136472 2547332 2629504 4272944 5094664 8278829 8545888 10189328 16557658 17091776 20378656 33115316 34183552 40757312 66230632 81514624 132461264 264922528 529845056 1059690112