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1027359468 = 2232314122453
BaseRepresentation
bin111101001111000…
…100001011101100
32122121011021020200
4331033010023230
54101001000333
6245535513500
734313261052
oct7517041354
92577137220
101027359468
11487a10413
12248088890
13134ac9315
149a6301d2
15602d7c13
hex3d3c42ec

1027359468 has 72 divisors (see below), whose sum is σ = 2746214016. Its totient is φ = 323308800.

The previous prime is 1027359461. The next prime is 1027359479. The reversal of 1027359468 is 8649537201.

1027359468 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

1027359468 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (1027359461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34530 + ... + 56982.

It is a 2-persistent number, because it is pandigital, and so is 2⋅1027359468 = 2054718936, but 3⋅1027359468 = 3082078404 is not.

Almost surely, 21027359468 is an apocalyptic number.

1027359468 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 1027359468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373107008).

1027359468 is an abundant number, since it is smaller than the sum of its proper divisors (1718854548).

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

1027359468 is a wasteful number, since it uses less digits than its factorization.

1027359468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22535 (or 22530 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1027359468 is about 32052.4487052082. The cubic root of 1027359468 is about 1009.0378930732.

The spelling of 1027359468 in words is "one billion, twenty-seven million, three hundred fifty-nine thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 41 62 82 93 123 124 164 186 246 279 369 372 492 558 738 1116 1271 1476 2542 3813 5084 7626 11439 15252 22453 22878 44906 45756 67359 89812 134718 202077 269436 404154 696043 808308 920573 1392086 1841146 2088129 2761719 2784172 3682292 4176258 5523438 6264387 8285157 8352516 11046876 12528774 16570314 25057548 28537763 33140628 57075526 85613289 114151052 171226578 256839867 342453156 513679734 1027359468