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168332538 = 231121723593
BaseRepresentation
bin10100000100010…
…00110011111010
3102201202011211110
422002020303322
5321043120123
624411541150
74112542263
oct1202106372
9381664743
10168332538
1187023800
124845a7b6
1328b4a36a
14184db96a
15eba1493
hexa088cfa

168332538 has 96 divisors (see below), whose sum is σ = 409546368. Its totient is φ = 45844480.

The previous prime is 168332537. The next prime is 168332543. The reversal of 168332538 is 835233861.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 168332496 and 168332505.

It is not an unprimeable number, because it can be changed into a prime (168332537) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 283570 + ... + 284162.

It is an arithmetic number, because the mean of its divisors is an integer number (4266108).

Almost surely, 2168332538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168332538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204773184).

168332538 is an abundant number, since it is smaller than the sum of its proper divisors (241213830).

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

168332538 is a wasteful number, since it uses less digits than its factorization.

168332538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 649 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 168332538 is about 12974.3029870587. The cubic root of 168332538 is about 552.1486616505.

The spelling of 168332538 in words is "one hundred sixty-eight million, three hundred thirty-two thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 11 17 22 23 33 34 46 51 66 69 102 121 138 187 242 253 363 374 391 506 561 593 726 759 782 1122 1173 1186 1518 1779 2057 2346 2783 3558 4114 4301 5566 6171 6523 8349 8602 10081 12342 12903 13046 13639 16698 19569 20162 25806 27278 30243 39138 40917 47311 60486 71753 81834 94622 110891 141933 143506 150029 215259 221782 231863 283866 300058 332673 430518 450087 463726 665346 695589 900174 1219801 1391178 1650319 2439602 2550493 3300638 3659403 4950957 5100986 7318806 7651479 9901914 15302958 28055423 56110846 84166269 168332538