Search a number
-
+
96329160 = 23325267581
BaseRepresentation
bin1011011110111…
…01110111001000
320201021000202200
411233131313020
5144130013120
613320400200
72246533014
oct557356710
9221230680
1096329160
114a414584
1228316060
1316c59a05
14cb17544
1586cbe90
hex5bdddc8

96329160 has 48 divisors (see below), whose sum is σ = 313070940. Its totient is φ = 25687680.

The previous prime is 96329137. The next prime is 96329161. The reversal of 96329160 is 6192369.

96329160 is a `hidden beast` number, since 9 + 632 + 9 + 16 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 83064996 + 13264164 = 9114^2 + 3642^2 .

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

It is not an unprimeable number, because it can be changed into a prime (96329161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133431 + ... + 134150.

Almost surely, 296329160 is an apocalyptic number.

96329160 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

96329160 is an abundant number, since it is smaller than the sum of its proper divisors (216741780).

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

96329160 is a wasteful number, since it uses less digits than its factorization.

96329160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267598 (or 267591 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 96329160 is about 9814.7419731748. The cubic root of 96329160 is about 458.4084252355.

The spelling of 96329160 in words is "ninety-six million, three hundred twenty-nine thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 267581 535162 802743 1070324 1337905 1605486 2140648 2408229 2675810 3210972 4013715 4816458 5351620 6421944 8027430 9632916 10703240 12041145 16054860 19265832 24082290 32109720 48164580 96329160