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1020324168 = 233319298573
BaseRepresentation
bin111100110100001…
…110100101001000
32122002220211122000
4330310032211020
54042200333133
6245125031000
734166420013
oct7464164510
92562824560
101020324168
11483a45716
12245855460
13133505016
149971c37a
155e898413
hex3cd0e948

1020324168 has 128 divisors (see below), whose sum is σ = 3086640000. Its totient is φ = 311060736.

The previous prime is 1020324163. The next prime is 1020324169. The reversal of 1020324168 is 8614230201.

It is a super-2 number, since 2×10203241682 = 2082122815609784448, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1020324161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114730 + ... + 123302.

It is an arithmetic number, because the mean of its divisors is an integer number (24114375).

Almost surely, 21020324168 is an apocalyptic number.

1020324168 is a gapful number since it is divisible by the number (18) 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 1020324168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543320000).

1020324168 is an abundant number, since it is smaller than the sum of its proper divisors (2066315832).

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

1020324168 is a wasteful number, since it uses less digits than its factorization.

1020324168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8636 (or 8626 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1020324168 is about 31942.5134890791. The cubic root of 1020324168 is about 1006.7293371117.

Adding to 1020324168 its reverse (8614230201), we get a palindrome (9634554369).

The spelling of 1020324168 in words is "one billion, twenty million, three hundred twenty-four thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 29 36 38 54 57 58 72 76 87 108 114 116 152 171 174 216 228 232 261 342 348 456 513 522 551 684 696 783 1026 1044 1102 1368 1566 1653 2052 2088 2204 3132 3306 4104 4408 4959 6264 6612 8573 9918 13224 14877 17146 19836 25719 29754 34292 39672 51438 59508 68584 77157 102876 119016 154314 162887 205752 231471 248617 308628 325774 462942 488661 497234 617256 651548 745851 925884 977322 994468 1303096 1465983 1491702 1851768 1954644 1988936 2237553 2931966 2983404 3909288 4397949 4475106 4723723 5863932 5966808 6712659 8795898 8950212 9447446 11727864 13425318 14171169 17591796 17900424 18894892 26850636 28342338 35183592 37789784 42513507 53701272 56684676 85027014 113369352 127540521 170054028 255081042 340108056 510162084 1020324168