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168924096 = 2633118887
BaseRepresentation
bin10100001000110…
…01001111000000
3102202212020022000
422010121033000
5321221032341
624432344000
74120555035
oct1204311700
9382766260
10168924096
11873981a0
12486a5000
1328cc66b3
141861338c
15ec6b8b6
hexa1193c0

168924096 has 112 divisors (see below), whose sum is σ = 541812480. Its totient is φ = 51183360.

The previous prime is 168924073. The next prime is 168924103. The reversal of 168924096 is 690429861.

It is a happy number.

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, 14565 + ... + 23451.

Almost surely, 2168924096 is an apocalyptic number.

168924096 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 168924096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270906240).

168924096 is an abundant number, since it is smaller than the sum of its proper divisors (372888384).

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

168924096 is a wasteful number, since it uses less digits than its factorization.

168924096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8919 (or 8903 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 168924096 is about 12997.0802875107. The cubic root of 168924096 is about 552.7946965618.

The spelling of 168924096 in words is "one hundred sixty-eight million, nine hundred twenty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 144 176 192 198 216 264 288 297 352 396 432 528 576 594 704 792 864 1056 1188 1584 1728 2112 2376 3168 4752 6336 8887 9504 17774 19008 26661 35548 53322 71096 79983 97757 106644 142192 159966 195514 213288 239949 284384 293271 319932 391028 426576 479898 568768 586542 639864 782056 853152 879813 959796 1173084 1279728 1564112 1706304 1759626 1919592 2346168 2559456 2639439 3128224 3519252 3839184 4692336 5118912 5278878 6256448 7038504 7678368 9384672 10557756 14077008 15356736 18769344 21115512 28154016 42231024 56308032 84462048 168924096