Search a number
-
+
168324192 = 25321921619
BaseRepresentation
bin10100000100001…
…10110001100000
3102201201202101100
422002012301200
5321042333232
624411434400
74112506041
oct1202066140
9381652340
10168324192
1187018503
1248455a00
1328b4661a
14184d88c8
15eb9dc7c
hexa086c60

168324192 has 108 divisors (see below), whose sum is σ = 505503180. Its totient is φ = 53122176.

The previous prime is 168324179. The next prime is 168324199. The reversal of 168324192 is 291423861.

It is a super-2 number, since 2×1683241922 = 56666067224905728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168324199) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 103159 + ... + 104777.

It is an arithmetic number, because the mean of its divisors is an integer number (4680585).

Almost surely, 2168324192 is an apocalyptic number.

168324192 is a gapful number since it is divisible by the number (12) 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 168324192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252751590).

168324192 is an abundant number, since it is smaller than the sum of its proper divisors (337178988).

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

168324192 is a wasteful number, since it uses less digits than its factorization.

168324192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 1643 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 168324192 is about 12973.9813472966. The cubic root of 168324192 is about 552.1395362432.

The spelling of 168324192 in words is "one hundred sixty-eight million, three hundred twenty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 361 456 608 684 722 912 1083 1368 1444 1619 1824 2166 2736 2888 3238 3249 4332 4857 5472 5776 6476 6498 8664 9714 11552 12952 12996 14571 17328 19428 25904 25992 29142 30761 34656 38856 51808 51984 58284 61522 77712 92283 103968 116568 123044 155424 184566 233136 246088 276849 369132 466272 492176 553698 584459 738264 984352 1107396 1168918 1476528 1753377 2214792 2337836 2953056 3506754 4429584 4675672 5260131 7013508 8859168 9351344 10520262 14027016 18702688 21040524 28054032 42081048 56108064 84162096 168324192