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168204768 = 25310317011
BaseRepresentation
bin10100000011010…
…01100111100000
3102201111200120020
422001221213200
5321030023033
624405113440
74111500624
oct1201514740
9381450506
10168204768
1186a46806
12483b8880
1328b04164
14184a7184
15eb786b3
hexa0699e0

168204768 has 48 divisors (see below), whose sum is σ = 445850496. Its totient is φ = 55520640.

The previous prime is 168204763. The next prime is 168204779. The reversal of 168204768 is 867402861.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168204761) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1383 + ... + 18393.

It is an arithmetic number, because the mean of its divisors is an integer number (9288552).

Almost surely, 2168204768 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 168204768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222925248).

168204768 is an abundant number, since it is smaller than the sum of its proper divisors (277645728).

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

168204768 is a wasteful number, since it uses less digits than its factorization.

168204768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17127 (or 17119 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 168204768 is about 12969.3780884050. The cubic root of 168204768 is about 552.0089265517.

The spelling of 168204768 in words is "one hundred sixty-eight million, two hundred four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 103 206 309 412 618 824 1236 1648 2472 3296 4944 9888 17011 34022 51033 68044 102066 136088 204132 272176 408264 544352 816528 1633056 1752133 3504266 5256399 7008532 10512798 14017064 21025596 28034128 42051192 56068256 84102384 168204768