Search a number
-
+
168634664 = 231179127191
BaseRepresentation
bin10100000110100…
…10100100101000
3102202022112021022
422003102210220
5321132302124
624422232012
74115241152
oct1203224450
9382275238
10168634664
118720a7a0
1248585608
1328c24a33
1418579ad2
15ec10c5e
hexa0d2928

168634664 has 64 divisors (see below), whose sum is σ = 353894400. Its totient is φ = 74692800.

The previous prime is 168634657. The next prime is 168634667. The reversal of 168634664 is 466436861.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (168634667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 882809 + ... + 882999.

It is an arithmetic number, because the mean of its divisors is an integer number (5529600).

Almost surely, 2168634664 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 168634664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176947200).

168634664 is an abundant number, since it is smaller than the sum of its proper divisors (185259736).

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

168634664 is a wasteful number, since it uses less digits than its factorization.

168634664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 410 counting only the distinct ones).

The product of its digits is 497664, while the sum is 44.

The square root of 168634664 is about 12985.9410132651. The cubic root of 168634664 is about 552.4787993749.

The spelling of 168634664 in words is "one hundred sixty-eight million, six hundred thirty-four thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 22 44 79 88 127 158 191 254 316 382 508 632 764 869 1016 1397 1528 1738 2101 2794 3476 4202 5588 6952 8404 10033 11176 15089 16808 20066 24257 30178 40132 48514 60356 80264 97028 110363 120712 165979 194056 220726 266827 331958 441452 533654 663916 882904 1067308 1327832 1916303 2134616 3832606 7665212 15330424 21079333 42158666 84317332 168634664