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87103040 = 265293929
BaseRepresentation
bin1010011000100…
…01011001000000
320001220021220112
411030101121000
5134244244130
612350530452
72105235503
oct514213100
9201807815
1087103040
1145192892
1225206a28
131507947b
14b7d513a
1579a8495
hex5311640

87103040 has 56 divisors (see below), whose sum is σ = 208346040. Its totient is φ = 34684928.

The previous prime is 87103039. The next prime is 87103043. The reversal of 87103040 is 4030178.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6390784 + 80712256 = 2528^2 + 8984^2 .

It is a junction number, because it is equal to n+sod(n) for n = 87102997 and 87103015.

It is not an unprimeable number, because it can be changed into a prime (87103043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93296 + ... + 94224.

It is an arithmetic number, because the mean of its divisors is an integer number (3720465).

Almost surely, 287103040 is an apocalyptic number.

87103040 is a gapful number since it is divisible by the number (80) 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 87103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104173020).

87103040 is an abundant number, since it is smaller than the sum of its proper divisors (121243000).

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

87103040 is a wasteful number, since it uses less digits than its factorization.

87103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 87103040 is about 9332.9009423651. The cubic root of 87103040 is about 443.2796261596.

The spelling of 87103040 in words is "eighty-seven million, one hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 293 320 586 929 1172 1465 1858 2344 2930 3716 4645 4688 5860 7432 9290 9376 11720 14864 18580 18752 23440 29728 37160 46880 59456 74320 93760 148640 272197 297280 544394 1088788 1360985 2177576 2721970 4355152 5443940 8710304 10887880 17420608 21775760 43551520 87103040