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168536052 = 2236291993
BaseRepresentation
bin10100000101110…
…10011111110100
3102202010112000000
422002322133310
5321121123202
624420151300
74114350516
oct1202723764
9382115000
10168536052
11871526a3
1248538530
1328bbbb99
1418551bb6
15ebe191c
hexa0ba7f4

168536052 has 84 divisors (see below), whose sum is σ = 457682820. Its totient is φ = 54214272.

The previous prime is 168536047. The next prime is 168536077. The reversal of 168536052 is 250635861.

It can be written as a sum of positive squares in 2 ways, for example, as 106378596 + 62157456 = 10314^2 + 7884^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 168535998 and 168536016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 83568 + ... + 85560.

It is an arithmetic number, because the mean of its divisors is an integer number (5448605).

Almost surely, 2168536052 is an apocalyptic number.

168536052 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 168536052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228841410).

168536052 is an abundant number, since it is smaller than the sum of its proper divisors (289146768).

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

168536052 is a wasteful number, since it uses less digits than its factorization.

168536052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2044 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 168536052 is about 12982.1435826292. The cubic root of 168536052 is about 552.3710879054.

The spelling of 168536052 in words is "one hundred sixty-eight million, five hundred thirty-six thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 243 261 324 348 486 522 729 783 972 1044 1458 1566 1993 2349 2916 3132 3986 4698 5979 7047 7972 9396 11958 14094 17937 21141 23916 28188 35874 42282 53811 57797 71748 84564 107622 115594 161433 173391 215244 231188 322866 346782 484299 520173 645732 693564 968598 1040346 1452897 1560519 1937196 2080692 2905794 3121038 4681557 5811588 6242076 9363114 14044671 18726228 28089342 42134013 56178684 84268026 168536052