[go: up one dir, main page]

Search a number
-
+
30987264 = 2103711131
BaseRepresentation
bin111011000110…
…1010000000000
32011022022112110
41312031100000
530413043024
63024055320
7524246610
oct166152000
964268473
1030987264
1116545210
12a464540
13655c479
144188a40
152ac1629
hex1d8d400

30987264 has 176 divisors, whose sum is σ = 103758336. Its totient is φ = 7987200.

The previous prime is 30987263. The next prime is 30987289. The reversal of 30987264 is 46278903.

It is a tau number, because it is divible by the number of its divisors (176).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30987263) 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, 236479 + ... + 236609.

It is an arithmetic number, because the mean of its divisors is an integer number (589536).

Almost surely, 230987264 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 30987264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51879168).

30987264 is an abundant number, since it is smaller than the sum of its proper divisors (72771072).

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

30987264 is a wasteful number, since it uses less digits than its factorization.

30987264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 30987264 is about 5566.6205187708. The cubic root of 30987264 is about 314.0950393206.

The spelling of 30987264 in words is "thirty million, nine hundred eighty-seven thousand, two hundred sixty-four".