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1068768270 = 23451677901
BaseRepresentation
bin111111101101000…
…001110000001110
32202111002001110000
4333231001300032
54142101041040
6254015225130
735325244323
oct7755016016
92674061400
101068768270
114a9323469
12259b181a6
1314056717b
14a1d2cb4a
1563c67130
hex3fb41c0e

1068768270 has 80 divisors (see below), whose sum is σ = 2891373408. Its totient is φ = 283262400.

The previous prime is 1068768269. The next prime is 1068768277. The reversal of 1068768270 is 728678601.

It is a super-2 number, since 2×10687682702 = 2284531229917585800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1068768277) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 131320 + ... + 139220.

Almost surely, 21068768270 is an apocalyptic number.

1068768270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1068768270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445686704).

1068768270 is an abundant number, since it is smaller than the sum of its proper divisors (1822605138).

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

1068768270 is a wasteful number, since it uses less digits than its factorization.

1068768270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8087 (or 8078 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 1068768270 is about 32692.0215037247. The cubic root of 1068768270 is about 1022.4165023290.

The spelling of 1068768270 in words is "one billion, sixty-eight million, seven hundred sixty-eight thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 167 270 334 405 501 810 835 1002 1503 1670 2505 3006 4509 5010 7515 7901 9018 13527 15030 15802 22545 23703 27054 39505 45090 47406 67635 71109 79010 118515 135270 142218 213327 237030 355545 426654 639981 711090 1066635 1279962 1319467 2133270 2638934 3199905 3958401 6399810 6597335 7916802 11875203 13194670 19792005 23750406 35625609 39584010 59376015 71251218 106876827 118752030 178128045 213753654 356256090 534384135 1068768270