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1081520640 = 2933515647
BaseRepresentation
bin100000001110110…
…1011001000000000
32210101001221102000
41000131223020000
54203332130030
6255152424000
735541526254
oct10035531000
92711057360
101081520640
11505543512
12262248000
131430b0755
14a38cc264
1564e35860
hex4076b200

1081520640 has 160 divisors (see below), whose sum is σ = 3841896960. Its totient is φ = 288387072.

The previous prime is 1081520639. The next prime is 1081520647. The reversal of 1081520640 is 460251801.

1081520640 is a `hidden beast` number, since 1 + 0 + 8 + 15 + 2 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1081520647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61297 + ... + 76943.

It is an arithmetic number, because the mean of its divisors is an integer number (24011856).

Almost surely, 21081520640 is an apocalyptic number.

1081520640 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 1081520640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920948480).

1081520640 is an abundant number, since it is smaller than the sum of its proper divisors (2760376320).

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

1081520640 is an equidigital number, since it uses as much as digits as its factorization.

1081520640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15679 (or 15657 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1081520640 is about 32886.4811130653. The cubic root of 1081520640 is about 1026.4668714115.

The spelling of 1081520640 in words is "one billion, eighty-one million, five hundred twenty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 512 540 576 640 720 768 864 960 1080 1152 1280 1440 1536 1728 1920 2160 2304 2560 2880 3456 3840 4320 4608 5760 6912 7680 8640 11520 13824 15647 17280 23040 31294 34560 46941 62588 69120 78235 93882 125176 140823 156470 187764 234705 250352 281646 312940 375528 422469 469410 500704 563292 625880 704115 751056 844938 938820 1001408 1126584 1251760 1408230 1502112 1689876 1877640 2002816 2112345 2253168 2503520 2816460 3004224 3379752 3755280 4005632 4224690 4506336 5007040 5632920 6008448 6759504 7510560 8011264 8449380 9012672 10014080 11265840 12016896 13519008 15021120 16898760 18025344 20028160 22531680 24033792 27038016 30042240 33797520 36050688 40056320 45063360 54076032 60084480 67595040 72101376 90126720 108152064 120168960 135190080 180253440 216304128 270380160 360506880 540760320 1081520640