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87105823420 = 22571156562223
BaseRepresentation
bin101000100011111101…
…0010110001010111100
322022211112222022020011
41101013322112022330
52411343042322140
6104003232033004
76202364165650
oct1210772261274
9268745868204
1087105823420
1133a39a6a420
1214a6b692764
1382a2340065
1443047a0a60
1523ec23ccea
hex1447e962bc

87105823420 has 48 divisors (see below), whose sum is σ = 228058887168. Its totient is φ = 27149866560.

The previous prime is 87105823379. The next prime is 87105823423. The reversal of 87105823420 is 2432850178.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87105823423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28279572 + ... + 28282651.

It is an arithmetic number, because the mean of its divisors is an integer number (4751226816).

Almost surely, 287105823420 is an apocalyptic number.

It is an amenable number.

87105823420 is an abundant number, since it is smaller than the sum of its proper divisors (140953063748).

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

87105823420 is a wasteful number, since it uses less digits than its factorization.

87105823420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56562250 (or 56562248 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The spelling of 87105823420 in words is "eighty-seven billion, one hundred five million, eight hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 56562223 113124446 226248892 282811115 395935561 565622230 622184453 791871122 1131244460 1244368906 1583742244 1979677805 2488737812 3110922265 3959355610 4355291171 6221844530 7918711220 8710582342 12443689060 17421164684 21776455855 43552911710 87105823420