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654020028 = 2233411271163
BaseRepresentation
bin100110111110111…
…000110110111100
31200120122122211000
4212332320312330
52314412120103
6144521530300
722131035634
oct4676706674
91616578730
10654020028
113061a4a22
12163043990
13a56609cc
1462c096c4
153c63daa3
hex26fb8dbc

654020028 has 96 divisors (see below), whose sum is σ = 1752145920. Its totient is φ = 210833280.

The previous prime is 654020021. The next prime is 654020047. The reversal of 654020028 is 820020456.

654020028 is a `hidden beast` number, since 654 + 0 + 2 + 0 + 0 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 654019983 and 654020010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (654020021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 561775 + ... + 562937.

It is an arithmetic number, because the mean of its divisors is an integer number (18251520).

Almost surely, 2654020028 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 654020028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876072960).

654020028 is an abundant number, since it is smaller than the sum of its proper divisors (1098125892).

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

654020028 is a wasteful number, since it uses less digits than its factorization.

654020028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 654020028 is about 25573.8152804778. The cubic root of 654020028 is about 868.0212340930.

The spelling of 654020028 in words is "six hundred fifty-four million, twenty thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 127 164 246 254 369 381 492 508 738 762 1107 1143 1163 1476 1524 2214 2286 2326 3429 3489 4428 4572 4652 5207 6858 6978 10414 10467 13716 13956 15621 20828 20934 31242 31401 41868 46863 47683 62484 62802 93726 95366 125604 140589 143049 147701 187452 190732 281178 286098 295402 429147 443103 562356 572196 590804 858294 886206 1287441 1329309 1716588 1772412 2574882 2658618 3987927 5149764 5317236 6055741 7975854 12111482 15951708 18167223 24222964 36334446 54501669 72668892 109003338 163505007 218006676 327010014 654020028