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87375104 = 281721181
BaseRepresentation
bin1010011010100…
…11110100000000
320002102010002222
411031103310000
5134332000404
612400430212
72110450625
oct515236400
9202363088
1087375104
1145359233
1225318368
131514325b
14b86634c
157a0ddbe
hex5353d00

87375104 has 54 divisors (see below), whose sum is σ = 185428614. Its totient is φ = 41082880.

The previous prime is 87375089. The next prime is 87375109. The reversal of 87375104 is 40157378.

It can be written as a sum of positive squares in 3 ways, for example, as 56550400 + 30824704 = 7520^2 + 5552^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87375109) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 73394 + ... + 74574.

Almost surely, 287375104 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 87375104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92714307).

87375104 is an abundant number, since it is smaller than the sum of its proper divisors (98053510).

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

87375104 is a wasteful number, since it uses less digits than its factorization.

87375104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 87375104 is about 9347.4651109271. The cubic root of 87375104 is about 443.7406704644.

The spelling of 87375104 in words is "eighty-seven million, three hundred seventy-five thousand, one hundred four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 544 578 1088 1156 1181 2176 2312 2362 4352 4624 4724 9248 9448 18496 18896 20077 36992 37792 40154 73984 75584 80308 151168 160616 302336 321232 341309 642464 682618 1284928 1365236 2569856 2730472 5139712 5460944 10921888 21843776 43687552 87375104