Search a number
-
+
87113152 = 267337577
BaseRepresentation
bin1010011000100…
…11110111000000
320001220210210001
411030103313000
5134300110102
612351045344
72105310130
oct514236700
9201823701
1087113152
114519a445
1225210854
1315080c59
14b7d8ac0
1579ab487
hex5313dc0

87113152 has 56 divisors (see below), whose sum is σ = 198489824. Its totient is φ = 37158912.

The previous prime is 87113123. The next prime is 87113153. The reversal of 87113152 is 25131178.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 87113152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87113153) 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, 150688 + ... + 151264.

Almost surely, 287113152 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 87113152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99244912).

87113152 is an abundant number, since it is smaller than the sum of its proper divisors (111376672).

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

87113152 is a wasteful number, since it uses less digits than its factorization.

87113152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 923 counting only the distinct ones).

The product of its digits is 1680, while the sum is 28.

The square root of 87113152 is about 9333.4426660263. The cubic root of 87113152 is about 443.2967792927.

The spelling of 87113152 in words is "eighty-seven million, one hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 337 448 577 674 1154 1348 2308 2359 2696 4039 4616 4718 5392 8078 9232 9436 10784 16156 18464 18872 21568 32312 36928 37744 64624 75488 129248 150976 194449 258496 388898 777796 1361143 1555592 2722286 3111184 5444572 6222368 10889144 12444736 21778288 43556576 87113152