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1081380672 = 26336110259
BaseRepresentation
bin100000001110100…
…1000111101000000
32210100210211102000
41000131020331000
54203313140142
6255145424000
735540404221
oct10035107500
92710724360
101081380672
11505458339
1226219b000
13143061b28
14a3893248
1564e0914c
hex40748f40

1081380672 has 112 divisors (see below), whose sum is σ = 3231489600. Its totient is φ = 354516480.

The previous prime is 1081380661. The next prime is 1081380679. The reversal of 1081380672 is 2760831801.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1081380679) 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, 100279 + ... + 110537.

Almost surely, 21081380672 is an apocalyptic number.

1081380672 is a gapful number since it is divisible by the number (12) 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 1081380672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615744800).

1081380672 is an abundant number, since it is smaller than the sum of its proper divisors (2150108928).

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

1081380672 is a wasteful number, since it uses less digits than its factorization.

1081380672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10341 (or 10325 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1081380672 is about 32884.3529965240. The cubic root of 1081380672 is about 1026.4225884799.

The spelling of 1081380672 in words is "one billion, eighty-one million, three hundred eighty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 72 96 108 122 144 183 192 216 244 288 366 432 488 549 576 732 864 976 1098 1464 1647 1728 1952 2196 2928 3294 3904 4392 5856 6588 8784 10259 11712 13176 17568 20518 26352 30777 35136 41036 52704 61554 82072 92331 105408 123108 164144 184662 246216 276993 328288 369324 492432 553986 625799 656576 738648 984864 1107972 1251598 1477296 1877397 1969728 2215944 2503196 2954592 3754794 4431888 5006392 5632191 5909184 7509588 8863776 10012784 11264382 15019176 16896573 17727552 20025568 22528764 30038352 33793146 40051136 45057528 60076704 67586292 90115056 120153408 135172584 180230112 270345168 360460224 540690336 1081380672