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1068265000 = 23541119423
BaseRepresentation
bin111111101011000…
…110111000101000
32202110010111002101
4333223012320220
54141433440000
6254000343144
735321050135
oct7753067050
92673114071
101068265000
114a900a340
12259914ab4
1314041c08a
14a1c3b58c
1563bb7e6a
hex3fac6e28

1068265000 has 80 divisors (see below), whose sum is σ = 2730625920. Its totient is φ = 388440000.

The previous prime is 1068264973. The next prime is 1068265013. The reversal of 1068265000 is 5628601.

It is a super-2 number, since 2×10682650002 = 2282380220450000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1068265000.

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 19 ways as a sum of consecutive naturals, for example, 45289 + ... + 64711.

It is an arithmetic number, because the mean of its divisors is an integer number (34132824).

Almost surely, 21068265000 is an apocalyptic number.

1068265000 is a gapful number since it is divisible by the number (10) 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 1068265000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365312960).

1068265000 is an abundant number, since it is smaller than the sum of its proper divisors (1662360920).

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

1068265000 is a wasteful number, since it uses less digits than its factorization.

1068265000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19460 (or 19441 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 1068265000 is about 32684.3234594201. The cubic root of 1068265000 is about 1022.2559959611.

The spelling of 1068265000 in words is "one billion, sixty-eight million, two hundred sixty-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 625 1000 1100 1250 1375 2200 2500 2750 5000 5500 6875 11000 13750 19423 27500 38846 55000 77692 97115 155384 194230 213653 388460 427306 485575 776920 854612 971150 1068265 1709224 1942300 2136530 2427875 3884600 4273060 4855750 5341325 8546120 9711500 10682650 12139375 19423000 21365300 24278750 26706625 42730600 48557500 53413250 97115000 106826500 133533125 213653000 267066250 534132500 1068265000