Search a number
-
+
1068762696 = 233312149311
BaseRepresentation
bin111111101101000…
…000011001001000
32202111001202210120
4333231000121020
54142100401241
6254015143240
735325222141
oct7755003110
92674052716
101068762696
114a931a261
12259b14b20
13140564781
14a1d2aac8
1563c65666
hex3fb40648

1068762696 has 96 divisors (see below), whose sum is σ = 2788344000. Its totient is φ = 341347200.

The previous prime is 1068762683. The next prime is 1068762869. The reversal of 1068762696 is 6962678601.

It is a super-2 number, since 2×10687626962 = 2284507400722376832, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3436381 + ... + 3436691.

It is an arithmetic number, because the mean of its divisors is an integer number (29045250).

Almost surely, 21068762696 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 1068762696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394172000).

1068762696 is an abundant number, since it is smaller than the sum of its proper divisors (1719581304).

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

1068762696 is a wasteful number, since it uses less digits than its factorization.

1068762696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The square root of 1068762696 is about 32691.9362534555. The cubic root of 1068762696 is about 1022.4147249062.

The spelling of 1068762696 in words is "one billion, sixty-eight million, seven hundred sixty-two thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 149 186 248 298 311 372 447 596 622 744 894 933 961 1192 1244 1788 1866 1922 2488 2883 3576 3732 3844 4619 5766 7464 7688 9238 9641 11532 13857 18476 19282 23064 27714 28923 36952 38564 46339 55428 57846 77128 92678 110856 115692 139017 143189 185356 231384 278034 286378 298871 370712 429567 556068 572756 597742 859134 896613 1112136 1145512 1195484 1436509 1718268 1793226 2390968 2873018 3436536 3586452 4309527 5746036 7172904 8619054 11492072 17238108 34476216 44531779 89063558 133595337 178127116 267190674 356254232 534381348 1068762696