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169331968 = 2813174173
BaseRepresentation
bin10100001011111…
…00110100000000
3102210121221210101
422011330310000
5321322110333
624445212144
74124204131
oct1205746400
9383557711
10169331968
1187646683
1248861054
132910a240
14186bbc88
15ecec67d
hexa17cd00

169331968 has 144 divisors (see below), whose sum is σ = 400223376. Its totient is φ = 70778880.

The previous prime is 169331891. The next prime is 169331983. The reversal of 169331968 is 869133961.

It can be written as a sum of positive squares in 8 ways, for example, as 14379264 + 154952704 = 3792^2 + 12448^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2319580 + ... + 2319652.

It is an arithmetic number, because the mean of its divisors is an integer number (2779329).

Almost surely, 2169331968 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 169331968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200111688).

169331968 is an abundant number, since it is smaller than the sum of its proper divisors (230891408).

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

169331968 is a wasteful number, since it uses less digits than its factorization.

169331968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 146 counting only the distinct ones).

The product of its digits is 209952, while the sum is 46.

The square root of 169331968 is about 13012.7617360805. The cubic root of 169331968 is about 553.2392517582.

The spelling of 169331968 in words is "one hundred sixty-nine million, three hundred thirty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 16 17 26 32 34 41 52 64 68 73 82 104 128 136 146 164 208 221 256 272 292 328 416 442 533 544 584 656 697 832 884 949 1066 1088 1168 1241 1312 1394 1664 1768 1898 2132 2176 2336 2482 2624 2788 2993 3328 3536 3796 4264 4352 4672 4964 5248 5576 5986 7072 7592 8528 9061 9344 9928 10496 11152 11972 14144 15184 16133 17056 18122 18688 19856 22304 23944 28288 30368 32266 34112 36244 38909 39712 44608 47888 50881 56576 60736 64532 68224 72488 77818 79424 89216 95776 101762 121472 129064 136448 144976 155636 158848 178432 191552 203524 242944 258128 289952 311272 317696 383104 407048 516256 579904 622544 661453 766208 814096 1032512 1159808 1245088 1322906 1628192 2065024 2319616 2490176 2645812 3256384 4130048 4980352 5291624 6512768 9960704 10583248 13025536 21166496 42332992 84665984 169331968