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2093187520 = 265292111069
BaseRepresentation
bin111110011000011…
…1000000111000000
312101212200221110201
41330300320013000
513241324000040
6543412134544
7102604541344
oct17460700700
95355627421
102093187520
11984605846
124a5007454
132748740c8
1415bdd5624
15c3b6da9a
hex7cc381c0

2093187520 has 112 divisors (see below), whose sum is σ = 5185562400. Its totient is φ = 803819520.

The previous prime is 2093187463. The next prime is 2093187521. The reversal of 2093187520 is 257813902.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2093187520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2093187521) 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 15 ways as a sum of consecutive naturals, for example, 1957546 + ... + 1958614.

Almost surely, 22093187520 is an apocalyptic number.

2093187520 is a gapful number since it is divisible by the number (20) 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 2093187520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2592781200).

2093187520 is an abundant number, since it is smaller than the sum of its proper divisors (3092374880).

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

2093187520 is a wasteful number, since it uses less digits than its factorization.

2093187520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 2093187520 is about 45751.3663183953. The cubic root of 2093187520 is about 1279.1929156915.

The spelling of 2093187520 in words is "two billion, ninety-three million, one hundred eighty-seven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 145 160 211 232 290 320 422 464 580 844 928 1055 1069 1160 1688 1856 2110 2138 2320 3376 4220 4276 4640 5345 6119 6752 8440 8552 9280 10690 12238 13504 16880 17104 21380 24476 30595 31001 33760 34208 42760 48952 61190 62002 67520 68416 85520 97904 122380 124004 155005 171040 195808 225559 244760 248008 310010 342080 391616 451118 489520 496016 620020 902236 979040 992032 1127795 1240040 1804472 1958080 1984064 2255590 2480080 3608944 4511180 4960160 6541211 7217888 9022360 9920320 13082422 14435776 18044720 26164844 32706055 36089440 52329688 65412110 72178880 104659376 130824220 209318752 261648440 418637504 523296880 1046593760 2093187520