Search a number
-
+
87040872 = 23333710891
BaseRepresentation
bin1010011000000…
…10001101101000
320001210010122000
411030002031220
5134240301442
612345331000
72104556322
oct514021550
9201703560
1087040872
1145150106
1225196a60
1315057099
14b7ba612
157994d4c
hex5302368

87040872 has 64 divisors (see below), whose sum is σ = 248337600. Its totient is φ = 28226880.

The previous prime is 87040853. The next prime is 87040873. The reversal of 87040872 is 27804078.

It is a super-2 number, since 2×870408722 = 15152226797040768, which contains 22 as substring.

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 (87040873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2547 + ... + 13437.

It is an arithmetic number, because the mean of its divisors is an integer number (3880275).

Almost surely, 287040872 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 87040872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124168800).

87040872 is an abundant number, since it is smaller than the sum of its proper divisors (161296728).

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

87040872 is a wasteful number, since it uses less digits than its factorization.

87040872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10943 (or 10933 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 87040872 is about 9329.5697649999. The cubic root of 87040872 is about 443.1741404931.

The spelling of 87040872 in words is "eighty-seven million, forty thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 148 216 222 296 333 444 666 888 999 1332 1998 2664 3996 7992 10891 21782 32673 43564 65346 87128 98019 130692 196038 261384 294057 392076 402967 588114 784152 805934 1176228 1208901 1611868 2352456 2417802 3223736 3626703 4835604 7253406 9671208 10880109 14506812 21760218 29013624 43520436 87040872