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1027746468 = 223471513001
BaseRepresentation
bin111101010000100…
…010101010100100
32122121212221010000
4331100202222210
54101100341333
6245552101300
734316462250
oct7520425244
92577787100
101027746468
11488155151
12248234830
13134c03508
149a6d1260
1560362713
hex3d422aa4

1027746468 has 120 divisors (see below), whose sum is σ = 3091915904. Its totient is φ = 291600000.

The previous prime is 1027746437. The next prime is 1027746469. The reversal of 1027746468 is 8646477201.

It is not an unprimeable number, because it can be changed into a prime (1027746469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 340968 + ... + 343968.

Almost surely, 21027746468 is an apocalyptic number.

1027746468 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 1027746468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545957952).

1027746468 is an abundant number, since it is smaller than the sum of its proper divisors (2064169436).

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

1027746468 is a wasteful number, since it uses less digits than its factorization.

1027746468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3175 (or 3164 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 1027746468 is about 32058.4851170482. The cubic root of 1027746468 is about 1009.1645766260.

The spelling of 1027746468 in words is "one billion, twenty-seven million, seven hundred forty-six thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 151 162 189 252 302 324 378 453 567 604 756 906 1057 1134 1359 1812 2114 2268 2718 3001 3171 4077 4228 5436 6002 6342 8154 9003 9513 12004 12231 12684 16308 18006 19026 21007 24462 27009 28539 36012 38052 42014 48924 54018 57078 63021 81027 84028 85617 108036 114156 126042 162054 171234 189063 243081 252084 324108 342468 378126 453151 486162 567189 756252 906302 972324 1134378 1359453 1701567 1812604 2268756 2718906 3172057 3403134 4078359 5437812 6344114 6806268 8156718 9516171 12235077 12688228 16313436 19032342 24470154 28548513 36705231 38064684 48940308 57097026 73410462 85645539 114194052 146820924 171291078 256936617 342582156 513873234 1027746468