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30713536 = 267179383
BaseRepresentation
bin111010100101…
…0011011000000
32010210102001101
41311022123000
530330313121
63014144144
7522026560
oct165123300
963712041
1030713536
1116378597
12a352054
1364949b9
144116da0
152a6a491
hex1d4a6c0

30713536 has 56 divisors (see below), whose sum is σ = 70225920. Its totient is φ = 13055232.

The previous prime is 30713531. The next prime is 30713549. The reversal of 30713536 is 63531703.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (30713531) by changing a digit.

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, 80001 + ... + 80383.

Almost surely, 230713536 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 30713536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35112960).

30713536 is an abundant number, since it is smaller than the sum of its proper divisors (39512384).

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

30713536 is a wasteful number, since it uses less digits than its factorization.

30713536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 28.

The square root of 30713536 is about 5541.9794297706. The cubic root of 30713536 is about 313.1674429953.

The spelling of 30713536 in words is "thirty million, seven hundred thirteen thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 179 224 358 383 448 716 766 1253 1432 1532 2506 2681 2864 3064 5012 5362 5728 6128 10024 10724 11456 12256 20048 21448 24512 40096 42896 68557 80192 85792 137114 171584 274228 479899 548456 959798 1096912 1919596 2193824 3839192 4387648 7678384 15356768 30713536