Search a number
-
+
30996528 = 2433137563
BaseRepresentation
bin111011000111…
…1100000110000
32011022210020120
41312033200300
530413342103
63024210240
7524315613
oct166174060
964283216
1030996528
1116551172
12a469980
136563754
14418c17a
152ac4253
hex1d8f830

30996528 has 80 divisors (see below), whose sum is σ = 85042176. Its totient is φ = 9711360.

The previous prime is 30996523. The next prime is 30996551. The reversal of 30996528 is 82569903.

It is a self number, because there is not a number n which added to its sum of digits gives 30996528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30996521) 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, 54775 + ... + 55337.

Almost surely, 230996528 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 30996528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42521088).

30996528 is an abundant number, since it is smaller than the sum of its proper divisors (54045648).

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

30996528 is a wasteful number, since it uses less digits than its factorization.

30996528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 30996528 is about 5567.4525592950. The cubic root of 30996528 is about 314.1263369802.

The spelling of 30996528 in words is "thirty million, nine hundred ninety-six thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 37 48 62 74 93 111 124 148 186 222 248 296 372 444 496 563 592 744 888 1126 1147 1488 1689 1776 2252 2294 3378 3441 4504 4588 6756 6882 9008 9176 13512 13764 17453 18352 20831 27024 27528 34906 41662 52359 55056 62493 69812 83324 104718 124986 139624 166648 209436 249972 279248 333296 418872 499944 645761 837744 999888 1291522 1937283 2583044 3874566 5166088 7749132 10332176 15498264 30996528