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168121368 = 233261101379
BaseRepresentation
bin10100000010101…
…01010000011000
3102201100110011100
422001111100120
5321014340433
624403231400
74111002522
oct1201252030
9381313140
10168121368
118699a088
1248378560
1328aa51cc
1418484a12
15eb5db13
hexa055418

168121368 has 96 divisors (see below), whose sum is σ = 468608400. Its totient is φ = 54432000.

The previous prime is 168121321. The next prime is 168121379. The reversal of 168121368 is 863121861.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

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, 443403 + ... + 443781.

Almost surely, 2168121368 is an apocalyptic number.

168121368 is a gapful number since it is divisible by the number (18) 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 168121368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234304200).

168121368 is an abundant number, since it is smaller than the sum of its proper divisors (300487032).

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

168121368 is a wasteful number, since it uses less digits than its factorization.

168121368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 546 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 168121368 is about 12966.1624237860. The cubic root of 168121368 is about 551.9176783349.

The spelling of 168121368 in words is "one hundred sixty-eight million, one hundred twenty-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 101 122 183 202 244 303 366 379 404 488 549 606 732 758 808 909 1098 1137 1212 1464 1516 1818 2196 2274 2424 3032 3411 3636 4392 4548 6161 6822 7272 9096 12322 13644 18483 23119 24644 27288 36966 38279 46238 49288 55449 69357 73932 76558 92476 110898 114837 138714 147864 153116 184952 208071 221796 229674 277428 306232 344511 416142 443592 459348 554856 689022 832284 918696 1378044 1664568 2335019 2756088 4670038 7005057 9340076 14010114 18680152 21015171 28020228 42030342 56040456 84060684 168121368