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620042112 = 27324312517
BaseRepresentation
bin100100111101010…
…001011110000000
31121012201101212200
4210331101132000
52232212321422
6141305353200
721236161644
oct4475213600
91535641780
10620042112
11298aa78a8
12153798800
139b5c5231
145c4c2c24
153967b2ac
hex24f51780

620042112 has 96 divisors (see below), whose sum is σ = 1825875480. Its totient is φ = 201858048.

The previous prime is 620042083. The next prime is 620042117. The reversal of 620042112 is 211240026.

620042112 is a `hidden beast` number, since 620 + 0 + 42 + 1 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (620042117) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 43278 + ... + 55794.

Almost surely, 2620042112 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 620042112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912937740).

620042112 is an abundant number, since it is smaller than the sum of its proper divisors (1205833368).

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

620042112 is a wasteful number, since it uses less digits than its factorization.

620042112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12580 (or 12565 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 620042112 is about 24900.6448109281. The cubic root of 620042112 is about 852.7212037956.

Adding to 620042112 its reverse (211240026), we get a palindrome (831282138).

The spelling of 620042112 in words is "six hundred twenty million, forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 258 288 344 384 387 516 576 688 774 1032 1152 1376 1548 2064 2752 3096 4128 5504 6192 8256 12384 12517 16512 24768 25034 37551 49536 50068 75102 100136 112653 150204 200272 225306 300408 400544 450612 538231 600816 801088 901224 1076462 1201632 1602176 1614693 1802448 2152924 2403264 3229386 3604896 4305848 4806528 4844079 6458772 7209792 8611696 9688158 12917544 14419584 17223392 19376316 25835088 34446784 38752632 51670176 68893568 77505264 103340352 155010528 206680704 310021056 620042112