Search a number
-
+
87122130 = 23541193367
BaseRepresentation
bin1010011000101…
…10000011010010
320001221021002120
411030112003102
5134300402010
612351155110
72105345244
oct514260322
9201837076
1087122130
11451a6167
1225215a96
1315085074
14b7dc094
1579ade70
hex53160d2

87122130 has 64 divisors (see below), whose sum is σ = 215889408. Its totient is φ = 22487040.

The previous prime is 87122129. The next prime is 87122153. The reversal of 87122130 is 3122178.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 87122130.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237207 + ... + 237573.

It is an arithmetic number, because the mean of its divisors is an integer number (3373272).

Almost surely, 287122130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87122130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107944704).

87122130 is an abundant number, since it is smaller than the sum of its proper divisors (128767278).

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

87122130 is a wasteful number, since it uses less digits than its factorization.

87122130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611.

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 87122130 is about 9333.9236122865. The cubic root of 87122130 is about 443.3120076927.

The spelling of 87122130 in words is "eighty-seven million, one hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 193 205 246 367 386 410 579 615 734 965 1101 1158 1230 1835 1930 2202 2895 3670 5505 5790 7913 11010 15047 15826 23739 30094 39565 45141 47478 70831 75235 79130 90282 118695 141662 150470 212493 225705 237390 354155 424986 451410 708310 1062465 2124930 2904071 5808142 8712213 14520355 17424426 29040710 43561065 87122130