Search a number
-
+
1068600500 = 225311972003
BaseRepresentation
bin111111101100011…
…000110010110100
32202110202112022022
4333230120302310
54142030204000
6254011452312
735323645232
oct7754306264
92673675268
101068600500
114a9219410
12259a57098
131405089b6
14a1cc7952
1563c32585
hex3fb18cb4

1068600500 has 96 divisors (see below), whose sum is σ = 2573520768. Its totient is φ = 384384000.

The previous prime is 1068600443. The next prime is 1068600509. The reversal of 1068600500 is 50068601.

It is a super-2 number, since 2×10686005002 = 2283814057200500000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1068600500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1068600509) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 532499 + ... + 534501.

It is an arithmetic number, because the mean of its divisors is an integer number (26807508).

Almost surely, 21068600500 is an apocalyptic number.

1068600500 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 1068600500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286760384).

1068600500 is an abundant number, since it is smaller than the sum of its proper divisors (1504920268).

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

1068600500 is a wasteful number, since it uses less digits than its factorization.

1068600500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 1068600500 is about 32689.4554864409. The cubic root of 1068600500 is about 1022.3630015539.

The spelling of 1068600500 in words is "one billion, sixty-eight million, six hundred thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 97 100 110 125 194 220 250 275 388 485 500 550 970 1067 1100 1375 1940 2003 2134 2425 2750 4006 4268 4850 5335 5500 8012 9700 10015 10670 12125 20030 21340 22033 24250 26675 40060 44066 48500 50075 53350 88132 100150 106700 110165 133375 194291 200300 220330 250375 266750 388582 440660 500750 533500 550825 777164 971455 1001500 1101650 1942910 2137201 2203300 2754125 3885820 4274402 4857275 5508250 8548804 9714550 10686005 11016500 19429100 21372010 24286375 42744020 48572750 53430025 97145500 106860050 213720100 267150125 534300250 1068600500