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168108416 = 2774547
BaseRepresentation
bin10100000010100…
…10000110000000
3102201022210101122
422001102012000
5321013432131
624403051412
74110620000
oct1201220600
9381283348
10168108416
1186990383
1248370b68
1328a9c348
1418480000
15eb59d7b
hexa052180

168108416 has 80 divisors (see below), whose sum is σ = 391411740. Its totient is φ = 71914752.

The previous prime is 168108401. The next prime is 168108433. The reversal of 168108416 is 614801861.

It is a happy number.

It is a congruent number.

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 9 ways as a sum of consecutive naturals, for example, 307055 + ... + 307601.

Almost surely, 2168108416 is an apocalyptic number.

168108416 is a gapful number since it is divisible by the number (16) 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 168108416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195705870).

168108416 is an abundant number, since it is smaller than the sum of its proper divisors (223303324).

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

168108416 is an frugal number, since it uses more digits than its factorization.

168108416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The square root of 168108416 is about 12965.6629602963. The cubic root of 168108416 is about 551.9035048018.

The spelling of 168108416 in words is "one hundred sixty-eight million, one hundred eight thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 343 392 448 547 686 784 896 1094 1372 1568 2188 2401 2744 3136 3829 4376 4802 5488 6272 7658 8752 9604 10976 15316 17504 19208 21952 26803 30632 35008 38416 43904 53606 61264 70016 76832 107212 122528 153664 187621 214424 245056 307328 375242 428848 490112 750484 857696 1313347 1500968 1715392 2626694 3001936 3430784 5253388 6003872 10506776 12007744 21013552 24015488 42027104 84054208 168108416