Search a number
-
+
30881600 = 265219301
BaseRepresentation
bin111010111001…
…1011101000000
32011002221120222
41311303131000
530401202400
63021522212
7523326551
oct165633500
964087528
1030881600
1116482892
12a413368
136523349
14415c328
152aa0185
hex1d73740

30881600 has 42 divisors (see below), whose sum is σ = 75991974. Its totient is φ = 12352000.

The previous prime is 30881597. The next prime is 30881621. The reversal of 30881600 is 618803.

It can be written as a sum of positive squares in 3 ways, for example, as 2408704 + 28472896 = 1552^2 + 5336^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 30881600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8051 + ... + 11250.

Almost surely, 230881600 is an apocalyptic number.

It is an amenable number.

30881600 is an abundant number, since it is smaller than the sum of its proper divisors (45110374).

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

30881600 is a wasteful number, since it uses less digits than its factorization.

30881600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19323 (or 19308 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 30881600 is about 5557.1215570653. The cubic root of 30881600 is about 313.7376200784.

The spelling of 30881600 in words is "thirty million, eight hundred eighty-one thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 19301 38602 77204 96505 154408 193010 308816 386020 482525 617632 772040 965050 1235264 1544080 1930100 3088160 3860200 6176320 7720400 15440800 30881600