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168105378 = 2372833
BaseRepresentation
bin10100000010100…
…01010110100010
3102201022122020010
422001101112202
5321013333003
624403025350
74110605100
oct1201212642
9381278203
10168105378
1186989071
124836b256
1328a9ab4c
141847cc70
15eb59003
hexa0515a2

168105378 has 48 divisors (see below), whose sum is σ = 395871840. Its totient is φ = 47451432.

The previous prime is 168105271. The next prime is 168105383. The reversal of 168105378 is 873501861.

It is a super-2 number, since 2×1681053782 = 56518836225045768, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2025325 + ... + 2025407.

It is an arithmetic number, because the mean of its divisors is an integer number (8247330).

Almost surely, 2168105378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168105378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197935920).

168105378 is an abundant number, since it is smaller than the sum of its proper divisors (227766462).

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

168105378 is an frugal number, since it uses more digits than its factorization.

168105378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 168105378 is about 12965.5458041688. The cubic root of 168105378 is about 551.9001801755.

The spelling of 168105378 in words is "one hundred sixty-eight million, one hundred five thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 7 14 21 42 49 83 98 147 166 249 294 498 581 1162 1743 3486 4067 6889 8134 12201 13778 20667 24402 41334 48223 96446 144669 289338 337561 571787 675122 1012683 1143574 1715361 2025366 3430722 4002509 8005018 12007527 24015054 28017563 56035126 84052689 168105378