Search a number
-
+
30968028 = 223371323137
BaseRepresentation
bin111011000100…
…0100011011100
32011021100011000
41312020203130
530411434103
63023430300
7524136540
oct166104334
964240130
1030968028
1116531813
12a455390
1365537a0
144181a20
152abaaa3
hex1d888dc

30968028 has 192 divisors, whose sum is σ = 103864320. Its totient is φ = 7755264.

The previous prime is 30968023. The next prime is 30968057. The reversal of 30968028 is 82086903.

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

It is a junction number, because it is equal to n+sod(n) for n = 30967983 and 30968001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30968023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 225976 + ... + 226112.

It is an arithmetic number, because the mean of its divisors is an integer number (540960).

Almost surely, 230968028 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 30968028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51932160).

30968028 is an abundant number, since it is smaller than the sum of its proper divisors (72896292).

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

30968028 is a wasteful number, since it uses less digits than its factorization.

30968028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 30968028 is about 5564.8924517910. The cubic root of 30968028 is about 314.0300321526.

The spelling of 30968028 in words is "thirty million, nine hundred sixty-eight thousand, twenty-eight".