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1079081616 = 243233726417
BaseRepresentation
bin100000001010001…
…0111101010010000
32210012111000200210
41000110113222100
54202221102431
6255024244120
735512020354
oct10024275220
92705430623
101079081616
11504127a98
12261470640
13142738542
14a3455464
1564b02d46
hex40517a90

1079081616 has 80 divisors (see below), whose sum is σ = 2987558784. Its totient is φ = 334743552.

The previous prime is 1079081587. The next prime is 1079081617. The reversal of 1079081616 is 6161809701.

It is not an unprimeable number, because it can be changed into a prime (1079081617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27640 + ... + 54056.

Almost surely, 21079081616 is an apocalyptic number.

1079081616 is a gapful number since it is divisible by the number (16) 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 1079081616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493779392).

1079081616 is an abundant number, since it is smaller than the sum of its proper divisors (1908477168).

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

1079081616 is a wasteful number, since it uses less digits than its factorization.

1079081616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26488 (or 26482 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 39.

The square root of 1079081616 is about 32849.3777110009. The cubic root of 1079081616 is about 1025.6946680251.

The spelling of 1079081616 in words is "one billion, seventy-nine million, eighty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 37 46 48 69 74 92 111 138 148 184 222 276 296 368 444 552 592 851 888 1104 1702 1776 2553 3404 5106 6808 10212 13616 20424 26417 40848 52834 79251 105668 158502 211336 317004 422672 607591 634008 977429 1215182 1268016 1822773 1954858 2430364 2932287 3645546 3909716 4860728 5864574 7291092 7819432 9721456 11729148 14582184 15638864 22480867 23458296 29164368 44961734 46916592 67442601 89923468 134885202 179846936 269770404 359693872 539540808 1079081616