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1020663612 = 223317253617
BaseRepresentation
bin111100110101100…
…001011100111100
32122010120002021000
4330311201130330
54042242213422
6245140210300
734202332443
oct7465413474
92563502230
101020663612
11484157751
12245999990
131335c3687
14997a9d5a
155e913cac
hex3cd6173c

1020663612 has 144 divisors (see below), whose sum is σ = 2868657120. Its totient is φ = 313657344.

The previous prime is 1020663587. The next prime is 1020663619. The reversal of 1020663612 is 2163660201.

1020663612 is a `hidden beast` number, since 1 + 0 + 20 + 6 + 636 + 1 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020663619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1653928 + ... + 1654544.

It is an arithmetic number, because the mean of its divisors is an integer number (19921230).

Almost surely, 21020663612 is an apocalyptic number.

1020663612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020663612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434328560).

1020663612 is an abundant number, since it is smaller than the sum of its proper divisors (1847993508).

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

1020663612 is a wasteful number, since it uses less digits than its factorization.

1020663612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1020663612 is about 31947.8264049372. The cubic root of 1020663612 is about 1006.8409651462.

The spelling of 1020663612 in words is "one billion, twenty million, six hundred sixty-three thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 53 54 68 102 106 108 153 159 204 212 289 306 318 459 477 578 612 617 636 867 901 918 954 1156 1234 1431 1734 1802 1836 1851 1908 2468 2601 2703 2862 3468 3604 3702 5202 5406 5553 5724 7404 7803 8109 10404 10489 10812 11106 15317 15606 16218 16659 20978 22212 24327 30634 31212 31467 32436 32701 33318 41956 45951 48654 61268 62934 65402 66636 91902 94401 97308 98103 125868 130804 137853 178313 183804 188802 196206 275706 283203 294309 356626 377604 392412 413559 534939 551412 555917 566406 588618 713252 827118 882927 1069878 1111834 1132812 1177236 1604817 1654236 1667751 1765854 2139756 2223668 3209634 3335502 3531708 4814451 5003253 6419268 6671004 9450589 9628902 10006506 15009759 18901178 19257804 20013012 28351767 30019518 37802356 56703534 60039036 85055301 113407068 170110602 255165903 340221204 510331806 1020663612