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168814368 = 253465129
BaseRepresentation
bin10100000111111…
…10011100100000
3102202122122210000
422003332130200
5321204024433
624430140000
74116620112
oct1203763440
9382578700
10168814368
1187322808
1248651600
1328c88778
14185c53b2
15ec49113
hexa0fe720

168814368 has 60 divisors (see below), whose sum is σ = 496485990. Its totient is φ = 56270592.

The previous prime is 168814367. The next prime is 168814379. The reversal of 168814368 is 863418861.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 165173904 + 3640464 = 12852^2 + 1908^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (168814367) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 29973 + ... + 35156.

Almost surely, 2168814368 is an apocalyptic number.

168814368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

168814368 is an abundant number, since it is smaller than the sum of its proper divisors (327671622).

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

168814368 is an equidigital number, since it uses as much as digits as its factorization.

168814368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65151 (or 65134 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 168814368 is about 12992.8583460299. The cubic root of 168814368 is about 552.6749777131.

The spelling of 168814368 in words is "one hundred sixty-eight million, eight hundred fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 65129 130258 195387 260516 390774 521032 586161 781548 1042064 1172322 1563096 1758483 2084128 2344644 3126192 3516966 4689288 5275449 6252384 7033932 9378576 10550898 14067864 18757152 21101796 28135728 42203592 56271456 84407184 168814368