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83990520 = 233558641
BaseRepresentation
bin1010000000110…
…01011111111000
312212001011100000
411000121133320
5133000144040
612200113000
72036623215
oct500313770
9185034300
1083990520
1143457359
1224165760
1314529843
14b224b0c
157591130
hex50197f8

83990520 has 96 divisors (see below), whose sum is σ = 283111920. Its totient is φ = 22394880.

The previous prime is 83990513. The next prime is 83990521. The reversal of 83990520 is 2509938.

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 (83990521) 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 23 ways as a sum of consecutive naturals, for example, 5400 + ... + 14040.

Almost surely, 283990520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83990520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141555960).

83990520 is an abundant number, since it is smaller than the sum of its proper divisors (199121400).

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

83990520 is a wasteful number, since it uses less digits than its factorization.

83990520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8667 (or 8651 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 83990520 is about 9164.6341989192. The cubic root of 83990520 is about 437.9354380351.

The spelling of 83990520 in words is "eighty-three million, nine hundred ninety thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 810 972 1080 1215 1620 1944 2430 3240 4860 8641 9720 17282 25923 34564 43205 51846 69128 77769 86410 103692 129615 155538 172820 207384 233307 259230 311076 345640 388845 466614 518460 622152 699921 777690 933228 1036920 1166535 1399842 1555380 1866456 2099763 2333070 2799684 3110760 3499605 4199526 4666140 5599368 6999210 8399052 9332280 10498815 13998420 16798104 20997630 27996840 41995260 83990520