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1068623296 = 26134013203
BaseRepresentation
bin111111101100011…
…110010111000000
32202110210200120121
4333230132113000
54142031421141
6254012150024
735324101546
oct7754362700
92673720517
101068623296
114a9234554
12259a68314
131405161a0
14a1cd1d96
1563c391d1
hex3fb1e5c0

1068623296 has 56 divisors (see below), whose sum is σ = 2290078224. Its totient is φ = 491827200.

The previous prime is 1068623261. The next prime is 1068623321. The reversal of 1068623296 is 6923268601.

It is a super-2 number, since 2×10686232962 = 2283911497507807232, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 332031 + ... + 335233.

It is an arithmetic number, because the mean of its divisors is an integer number (40894254).

Almost surely, 21068623296 is an apocalyptic number.

1068623296 is a gapful number since it is divisible by the number (16) 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 1068623296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145039112).

1068623296 is an abundant number, since it is smaller than the sum of its proper divisors (1221454928).

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

1068623296 is a wasteful number, since it uses less digits than its factorization.

1068623296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3629 (or 3619 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The square root of 1068623296 is about 32689.8041597070. The cubic root of 1068623296 is about 1022.3702713805.

The spelling of 1068623296 in words is "one billion, sixty-eight million, six hundred twenty-three thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 401 416 802 832 1604 3203 3208 5213 6406 6416 10426 12812 12832 20852 25624 25664 41639 41704 51248 83278 83408 102496 166556 166816 204992 333112 333632 666224 1284403 1332448 2568806 2664896 5137612 10275224 16697239 20550448 33394478 41100896 66788956 82201792 133577912 267155824 534311648 1068623296