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168806274 = 237213291523
BaseRepresentation
bin10100000111111…
…00011110000010
3102202122020200020
422003330132002
5321203300044
624430034310
74116554400
oct1203743602
9382566606
10168806274
118731771a
1248648996
1328c84b90
14185c2470
15ec46a19
hexa0fc782

168806274 has 96 divisors (see below), whose sum is σ = 437814720. Its totient is φ = 42956928.

The previous prime is 168806251. The next prime is 168806329. The reversal of 168806274 is 472608861.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 110077 + ... + 111599.

It is an arithmetic number, because the mean of its divisors is an integer number (4560570).

Almost surely, 2168806274 is an apocalyptic number.

168806274 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 168806274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218907360).

168806274 is an abundant number, since it is smaller than the sum of its proper divisors (269008446).

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

168806274 is a wasteful number, since it uses less digits than its factorization.

168806274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 168806274 is about 12992.5468634906. The cubic root of 168806274 is about 552.6661446918. Note that the first 3 decimals are identical.

The spelling of 168806274 in words is "one hundred sixty-eight million, eight hundred six thousand, two hundred seventy-four".

Divisors: 1 2 3 6 7 13 14 21 26 29 39 42 49 58 78 87 91 98 147 174 182 203 273 294 377 406 546 609 637 754 1131 1218 1274 1421 1523 1911 2262 2639 2842 3046 3822 4263 4569 5278 7917 8526 9138 10661 15834 18473 19799 21322 31983 36946 39598 44167 55419 59397 63966 74627 88334 110838 118794 132501 138593 149254 223881 265002 277186 309169 415779 447762 574171 618338 831558 927507 970151 1148342 1722513 1855014 1940302 2164183 2910453 3445026 4019197 4328366 5820906 6492549 8038394 12057591 12985098 24115182 28134379 56268758 84403137 168806274