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1070678768 = 241737191557
BaseRepresentation
bin111111110100010…
…100001011110000
32202121200010011012
4333310110023300
54143043210033
6254124210052
735350422305
oct7764241360
92677603135
101070678768
114aa408895
1225a699928
13140a85943
14a22a90ac
1563ee3248
hex3fd142f0

1070678768 has 80 divisors (see below), whose sum is σ = 2271711744. Its totient is φ = 486789120.

The previous prime is 1070678689. The next prime is 1070678779. The reversal of 1070678768 is 8678760701.

It is a super-2 number, since 2×10706787682 = 2292706048491995648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1921946 + ... + 1922502.

Almost surely, 21070678768 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 1070678768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135855872).

1070678768 is an abundant number, since it is smaller than the sum of its proper divisors (1201032976).

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

1070678768 is a wasteful number, since it uses less digits than its factorization.

1070678768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 50.

The square root of 1070678768 is about 32721.2280943121. The cubic root of 1070678768 is about 1023.0253533434.

The spelling of 1070678768 in words is "one billion, seventy million, six hundred seventy-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 17 34 37 68 74 136 148 191 272 296 382 557 592 629 764 1114 1258 1528 2228 2516 3056 3247 4456 5032 6494 7067 8912 9469 10064 12988 14134 18938 20609 25976 28268 37876 41218 51952 56536 75752 82436 106387 113072 120139 151504 164872 212774 240278 329744 350353 425548 480556 700706 851096 961112 1401412 1702192 1808579 1922224 2802824 3617158 3936319 5605648 7234316 7872638 14468632 15745276 28937264 31490552 62981104 66917423 133834846 267669692 535339384 1070678768