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20070840960 = 27345387169
BaseRepresentation
bin10010101100010100…
…001011101010000000
31220210202211100210000
4102230110023222000
5312101113402320
613115335440000
71310242222212
oct225424135200
956722740700
1020070840960
11856a514975
123a81826000
131b7b27c171
14d858865b2
157c70b0c90
hex4ac50ba80

20070840960 has 160 divisors (see below), whose sum is σ = 71676782100. Its totient is φ = 5352210432.

The previous prime is 20070840913. The next prime is 20070840961. The reversal of 20070840960 is 6904807002.

It can be written as a sum of positive squares in 2 ways, for example, as 20057357376 + 13483584 = 141624^2 + 3672^2 .

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

It is a super-2 number, since 2×200708409602 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (20070840961) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 141745 + ... + 245424.

Almost surely, 220070840960 is an apocalyptic number.

20070840960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20070840960 is an abundant number, since it is smaller than the sum of its proper divisors (51605941140).

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

20070840960 is an equidigital number, since it uses as much as digits as its factorization.

20070840960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387200 (or 387179 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 20070840960 in words is "twenty billion, seventy million, eight hundred forty thousand, nine hundred sixty".

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 81 90 96 108 120 128 135 144 160 162 180 192 216 240 270 288 320 324 360 384 405 432 480 540 576 640 648 720 810 864 960 1080 1152 1296 1440 1620 1728 1920 2160 2592 2880 3240 3456 4320 5184 5760 6480 8640 10368 12960 17280 25920 51840 387169 774338 1161507 1548676 1935845 2323014 3097352 3484521 3871690 4646028 5807535 6194704 6969042 7743380 9292056 10453563 11615070 12389408 13938084 15486760 17422605 18584112 20907126 23230140 24778816 27876168 30973520 31360689 34845210 37168224 41814252 46460280 49557632 52267815 55752336 61947040 62721378 69690420 74336448 83628504 92920560 104535630 111504672 123894080 125442756 139380840 148672896 156803445 167257008 185841120 209071260 223009344 247788160 250885512 278761680 313606890 334514016 371682240 418142520 446018688 501771024 557523360 627213780 669028032 743364480 836285040 1003542048 1115046720 1254427560 1338056064 1672570080 2007084096 2230093440 2508855120 3345140160 4014168192 5017710240 6690280320 10035420480 20070840960