Search a number
-
+
30786272 = 251127951
BaseRepresentation
bin111010101110…
…0001011100000
32010221002211022
41311130023200
530340130042
63015505012
7522451616
oct165341340
963832738
1030786272
1116418200
12a388168
1364bbb3a
1441356b6
152a81cd2
hex1d5c2e0

30786272 has 36 divisors (see below), whose sum is σ = 66629808. Its totient is φ = 13992000.

The previous prime is 30786263. The next prime is 30786281. The reversal of 30786272 is 27268703.

It is an interprime number because it is at equal distance from previous prime (30786263) and next prime (30786281).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 104 + ... + 7847.

It is an arithmetic number, because the mean of its divisors is an integer number (1850828).

Almost surely, 230786272 is an apocalyptic number.

30786272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30786272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33314904).

30786272 is an abundant number, since it is smaller than the sum of its proper divisors (35843536).

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

30786272 is a wasteful number, since it uses less digits than its factorization.

30786272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7983 (or 7964 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 30786272 is about 5548.5378254095. The cubic root of 30786272 is about 313.4144631725.

The spelling of 30786272 in words is "thirty million, seven hundred eighty-six thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3872 7951 15902 31804 63608 87461 127216 174922 254432 349844 699688 962071 1399376 1924142 2798752 3848284 7696568 15393136 30786272