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168030144 = 26321272297
BaseRepresentation
bin10100000001111…
…10111111000000
3102201011211000200
422000332333000
5321003431034
624401245200
74110142542
oct1200767700
9381154020
10168030144
1186937597
1248333800
1328a72829
141845d692
15eb41a99
hexa03efc0

168030144 has 84 divisors (see below), whose sum is σ = 485631744. Its totient is φ = 55544832.

The previous prime is 168030127. The next prime is 168030151. The reversal of 168030144 is 441030861.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72004 + ... + 74300.

Almost surely, 2168030144 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 168030144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242815872).

168030144 is an abundant number, since it is smaller than the sum of its proper divisors (317601600).

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

168030144 is a wasteful number, since it uses less digits than its factorization.

168030144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2442 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 168030144 is about 12962.6441747045. The cubic root of 168030144 is about 551.8178352908.

The spelling of 168030144 in words is "one hundred sixty-eight million, thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 127 144 192 254 288 381 508 576 762 1016 1143 1524 2032 2286 2297 3048 4064 4572 4594 6096 6891 8128 9144 9188 12192 13782 18288 18376 20673 24384 27564 36576 36752 41346 55128 73152 73504 82692 110256 147008 165384 220512 291719 330768 441024 583438 661536 875157 1166876 1323072 1750314 2333752 2625471 3500628 4667504 5250942 7001256 9335008 10501884 14002512 18670016 21003768 28005024 42007536 56010048 84015072 168030144