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1427034816 = 263223107717
BaseRepresentation
bin101010100001110…
…1101001011000000
310200110012212202100
41111003231023000
510410310103231
6353334150400
750235411234
oct12503551300
93613185670
101427034816
11672584419
12339ab2400
13199855bcc
14d774c5c4
15854351e6
hex550ed2c0

1427034816 has 84 divisors (see below), whose sum is σ = 4268218032. Its totient is φ = 454992384.

The previous prime is 1427034737. The next prime is 1427034841. The reversal of 1427034816 is 6184307241.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 40611 + ... + 67106.

Almost surely, 21427034816 is an apocalyptic number.

1427034816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1427034816 is an abundant number, since it is smaller than the sum of its proper divisors (2841183216).

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

1427034816 is a wasteful number, since it uses less digits than its factorization.

1427034816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107758 (or 107745 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1427034816 is about 37776.1143581496. The cubic root of 1427034816 is about 1125.8439273557.

The spelling of 1427034816 in words is "one billion, four hundred twenty-seven million, thirty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 138 144 184 192 207 276 288 368 414 552 576 736 828 1104 1472 1656 2208 3312 4416 6624 13248 107717 215434 323151 430868 646302 861736 969453 1292604 1723472 1938906 2477491 2585208 3446944 3877812 4954982 5170416 6893888 7432473 7755624 9909964 10340832 14864946 15511248 19819928 20681664 22297419 29729892 31022496 39639856 44594838 59459784 62044992 79279712 89189676 118919568 158559424 178379352 237839136 356758704 475678272 713517408 1427034816