Search a number
-
+
30913536 = 210329347
BaseRepresentation
bin111010111101…
…1010000000000
32011011120101210
41311323100000
530403213121
63022330120
7523521633
oct165732000
964146353
1030913536
11164a4885
12a429940
136534a44
144169c1a
152aa9876
hex1d7b400

30913536 has 88 divisors (see below), whose sum is σ = 85482720. Its totient is φ = 9920512.

The previous prime is 30913501. The next prime is 30913559. The reversal of 30913536 is 63531903.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88915 + ... + 89261.

Almost surely, 230913536 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 30913536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42741360).

30913536 is an abundant number, since it is smaller than the sum of its proper divisors (54569184).

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

30913536 is a wasteful number, since it uses less digits than its factorization.

30913536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 30.

The square root of 30913536 is about 5559.9942446013. The cubic root of 30913536 is about 313.8457327058.

The spelling of 30913536 in words is "thirty million, nine hundred thirteen thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 347 348 384 464 512 694 696 768 928 1024 1041 1388 1392 1536 1856 2082 2776 2784 3072 3712 4164 5552 5568 7424 8328 10063 11104 11136 14848 16656 20126 22208 22272 29696 30189 33312 40252 44416 44544 60378 66624 80504 88832 89088 120756 133248 161008 177664 241512 266496 322016 355328 483024 532992 644032 966048 1065984 1288064 1932096 2576128 3864192 5152256 7728384 10304512 15456768 30913536