Search a number
-
+
168069384 = 23337293833
BaseRepresentation
bin10100000010010…
…00100100001000
3102201020210212000
422001020210020
5321011210014
624402151000
74110365130
oct1201104410
9381223760
10168069384
118696401a
1248352460
1328a87652
141846dac0
15eb4d509
hexa048908

168069384 has 128 divisors (see below), whose sum is σ = 552096000. Its totient is φ = 46351872.

The previous prime is 168069371. The next prime is 168069397. The reversal of 168069384 is 483960861.

It is an interprime number because it is at equal distance from previous prime (168069371) and next prime (168069397).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41932 + ... + 45764.

It is an arithmetic number, because the mean of its divisors is an integer number (4313250).

Almost surely, 2168069384 is an apocalyptic number.

168069384 is a gapful number since it is divisible by the number (14) 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 168069384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276048000).

168069384 is an abundant number, since it is smaller than the sum of its proper divisors (384026616).

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

168069384 is a wasteful number, since it uses less digits than its factorization.

168069384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3884 (or 3874 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 168069384 is about 12964.1576664279. The cubic root of 168069384 is about 551.8607872001.

The spelling of 168069384 in words is "one hundred sixty-eight million, sixty-nine thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 29 36 42 54 56 58 63 72 84 87 108 116 126 168 174 189 203 216 232 252 261 348 378 406 504 522 609 696 756 783 812 1044 1218 1512 1566 1624 1827 2088 2436 3132 3654 3833 4872 5481 6264 7308 7666 10962 11499 14616 15332 21924 22998 26831 30664 34497 43848 45996 53662 68994 80493 91992 103491 107324 111157 137988 160986 206982 214648 222314 241479 275976 321972 333471 413964 444628 482958 643944 666942 724437 778099 827928 889256 965916 1000413 1333884 1448874 1556198 1931832 2000826 2334297 2667768 2897748 3001239 3112396 4001652 4668594 5795496 6002478 6224792 7002891 8003304 9337188 12004956 14005782 18674376 21008673 24009912 28011564 42017346 56023128 84034692 168069384