Search a number
-
+
87860340 = 223251573109
BaseRepresentation
bin1010011110010…
…10010001110100
320010022202201200
411033022101310
5134443012330
612415052500
72114541411
oct517122164
9203282650
1087860340
114565a857
1225511130
1315283089
14b951108
157aa7a60
hex53ca474

87860340 has 72 divisors (see below), whose sum is σ = 268293480. Its totient is φ = 23272704.

The previous prime is 87860329. The next prime is 87860363. The reversal of 87860340 is 4306878.

87860340 is a `hidden beast` number, since 8 + 7 + 8 + 603 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 138384 + 87721956 = 372^2 + 9366^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 87860295 and 87860304.

It is a congruent number.

It is an unprimeable number.

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, 26706 + ... + 29814.

Almost surely, 287860340 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 87860340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134146740).

87860340 is an abundant number, since it is smaller than the sum of its proper divisors (180433140).

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

87860340 is a wasteful number, since it uses less digits than its factorization.

87860340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3281 (or 3276 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 87860340 is about 9373.3846608362. The cubic root of 87860340 is about 444.5605896918.

The spelling of 87860340 in words is "eighty-seven million, eight hundred sixty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 157 180 314 471 628 785 942 1413 1570 1884 2355 2826 3109 3140 4710 5652 6218 7065 9327 9420 12436 14130 15545 18654 27981 28260 31090 37308 46635 55962 62180 93270 111924 139905 186540 279810 488113 559620 976226 1464339 1952452 2440565 2928678 4393017 4881130 5857356 7321695 8786034 9762260 14643390 17572068 21965085 29286780 43930170 87860340