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168121470 = 235111313889
BaseRepresentation
bin10100000010101…
…01010001111110
3102201100110022010
422001111101332
5321014341340
624403232050
74111003026
oct1201252176
9381313263
10168121470
118699a170
1248378626
1328aa527a
1418484a86
15eb5db80
hexa05547e

168121470 has 64 divisors (see below), whose sum is σ = 443646720. Its totient is φ = 40435200.

The previous prime is 168121453. The next prime is 168121477. The reversal of 168121470 is 74121861.

168121470 = T2445 + T2446 + ... + T2499.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168121477) 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 31 ways as a sum of consecutive naturals, for example, 41286 + ... + 45174.

It is an arithmetic number, because the mean of its divisors is an integer number (6931980).

Almost surely, 2168121470 is an apocalyptic number.

168121470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 168121470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221823360).

168121470 is an abundant number, since it is smaller than the sum of its proper divisors (275525250).

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

168121470 is a wasteful number, since it uses less digits than its factorization.

168121470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4041.

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 168121470 is about 12966.1663571003. The cubic root of 168121470 is about 551.9177899519.

The spelling of 168121470 in words is "one hundred sixty-eight million, one hundred twenty-one thousand, four hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 131 165 262 330 393 655 786 1310 1441 1965 2882 3889 3930 4323 7205 7778 8646 11667 14410 19445 21615 23334 38890 42779 43230 58335 85558 116670 128337 213895 256674 427790 509459 641685 1018918 1283370 1528377 2547295 3056754 5094590 5604049 7641885 11208098 15283770 16812147 28020245 33624294 56040490 84060735 168121470