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168361164 = 223271199331
BaseRepresentation
bin10100000100011…
…11110011001100
3102201210122002200
422002033303030
5321100024124
624412321500
74113021606
oct1202176314
9381718080
10168361164
1187043264
1248473290
1328b5a3ba
1418508176
15eba9bc9
hexa08fccc

168361164 has 72 divisors (see below), whose sum is σ = 435052800. Its totient is φ = 54885600.

The previous prime is 168361163. The next prime is 168361177. The reversal of 168361164 is 461163861.

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

It is not an unprimeable number, because it can be changed into a prime (168361163) 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 23 ways as a sum of consecutive naturals, for example, 508479 + ... + 508809.

It is an arithmetic number, because the mean of its divisors is an integer number (6042400).

Almost surely, 2168361164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168361164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217526400).

168361164 is an abundant number, since it is smaller than the sum of its proper divisors (266691636).

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

168361164 is a wasteful number, since it uses less digits than its factorization.

168361164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 606 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 168361164 is about 12975.4061208118. The cubic root of 168361164 is about 552.1799586532.

The spelling of 168361164 in words is "one hundred sixty-eight million, three hundred sixty-one thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 199 213 284 331 398 426 597 639 662 796 852 993 1194 1278 1324 1791 1986 2388 2556 2979 3582 3972 5958 7164 11916 14129 23501 28258 42387 47002 56516 65869 70503 84774 94004 127161 131738 141006 169548 197607 211509 254322 263476 282012 395214 423018 508644 592821 790428 846036 1185642 2371284 4676699 9353398 14030097 18706796 28060194 42090291 56120388 84180582 168361164