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1068940368 = 243310124499
BaseRepresentation
bin111111101101101…
…011110001010000
32202111101210112000
4333231223301100
54142122042433
6254023034000
735326562136
oct7755536120
92674353460
101068940368
114a94307a1
12259b9b900
131405c75c2
14a1d75756
1563c9d113
hex3fb6bc50

1068940368 has 80 divisors (see below), whose sum is σ = 3098760000. Its totient is φ = 352771200.

The previous prime is 1068940351. The next prime is 1068940381. The reversal of 1068940368 is 8630498601.

1068940368 is a `hidden beast` number, since 106 + 89 + 403 + 68 = 666.

It is a super-2 number, since 2×10689403682 = 2285267020679950848, 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, 31383 + ... + 55881.

It is an arithmetic number, because the mean of its divisors is an integer number (38734500).

Almost surely, 21068940368 is an apocalyptic number.

1068940368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1068940368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549380000).

1068940368 is an abundant number, since it is smaller than the sum of its proper divisors (2029819632).

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

1068940368 is a wasteful number, since it uses less digits than its factorization.

1068940368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24617 (or 24605 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1068940368 is about 32694.6535078750. The cubic root of 1068940368 is about 1022.4713774585.

The spelling of 1068940368 in words is "one billion, sixty-eight million, nine hundred forty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 101 108 144 202 216 303 404 432 606 808 909 1212 1616 1818 2424 2727 3636 4848 5454 7272 10908 14544 21816 24499 43632 48998 73497 97996 146994 195992 220491 293988 391984 440982 587976 661473 881964 1175952 1322946 1763928 2474399 2645892 3527856 4948798 5291784 7423197 9897596 10583568 14846394 19795192 22269591 29692788 39590384 44539182 59385576 66808773 89078364 118771152 133617546 178156728 267235092 356313456 534470184 1068940368