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168368704 = 2672531013
BaseRepresentation
bin10100000100100…
…01101001000000
3102201211000102221
422002101221000
5321100244304
624412420424
74113052600
oct1202215100
9381730387
10168368704
1187048999
1248477714
1328b6096a
141850ac00
15ebac054
hexa091a40

168368704 has 84 divisors (see below), whose sum is σ = 396378684. Its totient is φ = 70726656.

The previous prime is 168368689. The next prime is 168368729. The reversal of 168368704 is 407863861.

168368704 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 42928704 + 125440000 = 6552^2 + 11200^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 165702 + ... + 166714.

Almost surely, 2168368704 is an apocalyptic number.

168368704 is a gapful number since it is divisible by the number (14) 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 168368704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198189342).

168368704 is an abundant number, since it is smaller than the sum of its proper divisors (228009980).

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

168368704 is a wasteful number, since it uses less digits than its factorization.

168368704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The square root of 168368704 is about 12975.6966672314. The cubic root of 168368704 is about 552.1882015968.

The spelling of 168368704 in words is "one hundred sixty-eight million, three hundred sixty-eight thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 53 56 64 98 106 112 196 212 224 371 392 424 448 742 784 848 1013 1484 1568 1696 2026 2597 2968 3136 3392 4052 5194 5936 7091 8104 10388 11872 14182 16208 20776 23744 28364 32416 41552 49637 53689 56728 64832 83104 99274 107378 113456 166208 198548 214756 226912 375823 397096 429512 453824 751646 794192 859024 1503292 1588384 1718048 2630761 3006584 3176768 3436096 5261522 6013168 10523044 12026336 21046088 24052672 42092176 84184352 168368704