Search a number
-
+
168492096 = 2633281347
BaseRepresentation
bin10100000101011…
…11110001000000
3102202001021201000
422002233301000
5321113221341
624415212000
74114105413
oct1202576100
9382037630
10168492096
1187122673
1248517000
1328ba4b86
141853db7a
15ebd38b6
hexa0afc40

168492096 has 112 divisors (see below), whose sum is σ = 498530880. Its totient is φ = 55802880.

The previous prime is 168492073. The next prime is 168492101. The reversal of 168492096 is 690294861.

It is a happy 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, 485395 + ... + 485741.

Almost surely, 2168492096 is an apocalyptic number.

168492096 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 168492096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249265440).

168492096 is an abundant number, since it is smaller than the sum of its proper divisors (330038784).

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

168492096 is a wasteful number, since it uses less digits than its factorization.

168492096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 633 counting only the distinct ones).

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

The square root of 168492096 is about 12980.4505314723. The cubic root of 168492096 is about 552.3230623061.

The spelling of 168492096 in words is "one hundred sixty-eight million, four hundred ninety-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 281 288 347 432 562 576 694 843 864 1041 1124 1388 1686 1728 2082 2248 2529 2776 3123 3372 4164 4496 5058 5552 6246 6744 7587 8328 8992 9369 10116 11104 12492 13488 15174 16656 17984 18738 20232 22208 24984 26976 30348 33312 37476 40464 49968 53952 60696 66624 74952 80928 97507 99936 121392 149904 161856 195014 199872 242784 292521 299808 390028 485568 585042 599616 780056 877563 1170084 1560112 1755126 2340168 2632689 3120224 3510252 4680336 5265378 6240448 7020504 9360672 10530756 14041008 18721344 21061512 28082016 42123024 56164032 84246048 168492096