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168988896 = 2533317617
BaseRepresentation
bin10100001001010…
…01000011100000
3102202222112012000
422010221003200
5321230121041
624434004000
74121244666
oct1204510340
9382875160
10168988896
118743194a
1248716600
132901a03b
141862cc36
15ec80bb6
hexa1290e0

168988896 has 96 divisors (see below), whose sum is σ = 495240480. Its totient is φ = 56060928.

The previous prime is 168988877. The next prime is 168988903. The reversal of 168988896 is 698889861.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273580 + ... + 274196.

It is an arithmetic number, because the mean of its divisors is an integer number (5158755).

Almost surely, 2168988896 is an apocalyptic number.

168988896 is a gapful number since it is divisible by the number (16) 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 168988896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247620240).

168988896 is an abundant number, since it is smaller than the sum of its proper divisors (326251584).

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

168988896 is a wasteful number, since it uses less digits than its factorization.

168988896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 939 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 63.

The square root of 168988896 is about 12999.5729160615. The cubic root of 168988896 is about 552.8653723225.

The spelling of 168988896 in words is "one hundred sixty-eight million, nine hundred eighty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 317 432 617 634 864 951 1234 1268 1851 1902 2468 2536 2853 3702 3804 4936 5072 5553 5706 7404 7608 8559 9872 10144 11106 11412 14808 15216 16659 17118 19744 22212 22824 29616 30432 33318 34236 44424 45648 59232 66636 68472 88848 91296 133272 136944 177696 195589 266544 273888 391178 533088 586767 782356 1173534 1564712 1760301 2347068 3129424 3520602 4694136 5280903 6258848 7041204 9388272 10561806 14082408 18776544 21123612 28164816 42247224 56329632 84494448 168988896