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1020063816 = 233271383521
BaseRepresentation
bin111100110011001…
…111000001001000
32122002102121111100
4330303033001020
54042114020231
6245115301400
734164253662
oct7463170110
92562377440
101020063816
11483888052
1224574a860
13133443675
1499691532
155e8461e6
hex3cccf048

1020063816 has 96 divisors (see below), whose sum is σ = 2814289920. Its totient is φ = 333715200.

The previous prime is 1020063809. The next prime is 1020063827. The reversal of 1020063816 is 6183600201.

1020063816 is a `hidden beast` number, since 1 + 0 + 20 + 0 + 638 + 1 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1020063816.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1957636 + ... + 1958156.

It is an arithmetic number, because the mean of its divisors is an integer number (29315520).

Almost surely, 21020063816 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 1020063816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407144960).

1020063816 is an abundant number, since it is smaller than the sum of its proper divisors (1794226104).

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

1020063816 is a wasteful number, since it uses less digits than its factorization.

1020063816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1020063816 is about 31938.4379079504. The cubic root of 1020063816 is about 1006.6437021402.

The spelling of 1020063816 in words is "one billion, twenty million, sixty-three thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 284 383 426 521 568 639 766 852 1042 1149 1278 1532 1563 1704 2084 2298 2556 3064 3126 3447 4168 4596 4689 5112 6252 6894 9192 9378 12504 13788 18756 27193 27576 36991 37512 54386 73982 81579 108772 110973 147964 163158 199543 217544 221946 244737 295928 326316 332919 399086 443892 489474 598629 652632 665838 798172 887784 978948 1197258 1331676 1596344 1795887 1957896 2394516 2663352 3591774 4789032 7183548 14167553 14367096 28335106 42502659 56670212 85005318 113340424 127507977 170010636 255015954 340021272 510031908 1020063816