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30763728 = 2432213637
BaseRepresentation
bin111010101011…
…0101011010000
32010212221220100
41311112223100
530333414403
63015212400
7522326112
oct165265320
963787810
1030763728
1116402276
12a377100
1364b17b8
14412b3b2
152a7a2a3
hex1d56ad0

30763728 has 30 divisors (see below), whose sum is σ = 86096114. Its totient is φ = 10254528.

The previous prime is 30763699. The next prime is 30763739. The reversal of 30763728 is 82736703.

It can be written as a sum of positive squares in only one way, i.e., 27123264 + 3640464 = 5208^2 + 1908^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 30763692 and 30763701.

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, 106675 + ... + 106962.

Almost surely, 230763728 is an apocalyptic number.

It is an amenable number.

30763728 is an abundant number, since it is smaller than the sum of its proper divisors (55332386).

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

30763728 is a wasteful number, since it uses less digits than its factorization.

30763728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213651 (or 213642 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 30763728 is about 5546.5059271581. The cubic root of 30763728 is about 313.3379426916.

The spelling of 30763728 in words is "thirty million, seven hundred sixty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 213637 427274 640911 854548 1281822 1709096 1922733 2563644 3418192 3845466 5127288 7690932 10254576 15381864 30763728