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1087740480 = 26352235081
BaseRepresentation
bin100000011010101…
…1001101001000000
32210210202221102110
41000311121221000
54211430143410
6255534015320
735645433021
oct10065315100
92723687373
101087740480
11509001582
12264347540
1314447a828
14a466ac48
1565763720
hex40d59a40

1087740480 has 112 divisors (see below), whose sum is σ = 3469745664. Its totient is φ = 288706560.

The previous prime is 1087740457. The next prime is 1087740487. The reversal of 1087740480 is 840477801.

It is not an unprimeable number, because it can be changed into a prime (1087740487) 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, 211540 + ... + 216620.

It is an arithmetic number, because the mean of its divisors is an integer number (30979872).

Almost surely, 21087740480 is an apocalyptic number.

1087740480 is a gapful number since it is divisible by the number (10) 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 1087740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734872832).

1087740480 is an abundant number, since it is smaller than the sum of its proper divisors (2382005184).

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

1087740480 is a wasteful number, since it uses less digits than its factorization.

1087740480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5324 (or 5314 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 39.

The square root of 1087740480 is about 32980.9108424858. The cubic root of 1087740480 is about 1028.4308529223.

The spelling of 1087740480 in words is "one billion, eighty-seven million, seven hundred forty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 223 240 320 446 480 669 892 960 1115 1338 1784 2230 2676 3345 3568 4460 5081 5352 6690 7136 8920 10162 10704 13380 14272 15243 17840 20324 21408 25405 26760 30486 35680 40648 42816 50810 53520 60972 71360 76215 81296 101620 107040 121944 152430 162592 203240 214080 243888 304860 325184 406480 487776 609720 812960 975552 1133063 1219440 1625920 2266126 2438880 3399189 4532252 4877760 5665315 6798378 9064504 11330630 13596756 16995945 18129008 22661260 27193512 33991890 36258016 45322520 54387024 67983780 72516032 90645040 108774048 135967560 181290080 217548096 271935120 362580160 543870240 1087740480