Search a number
-
+
162355104 = 253520879
BaseRepresentation
bin10011010110101…
…01011110100000
3102022111111100000
421223111132200
5313030330404
624035500000
74010665332
oct1153253640
9368444300
10162355104
118371087a
1246457600
1327836712
14177c3452
15e3c0339
hex9ad57a0

162355104 has 72 divisors (see below), whose sum is σ = 478820160. Its totient is φ = 54115776.

The previous prime is 162355097. The next prime is 162355147. The reversal of 162355104 is 401553261.

162355104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 2664 + ... + 18215.

It is an arithmetic number, because the mean of its divisors is an integer number (6650280).

Almost surely, 2162355104 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 162355104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239410080).

162355104 is an abundant number, since it is smaller than the sum of its proper divisors (316465056).

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

162355104 is an equidigital number, since it uses as much as digits as its factorization.

162355104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20904 (or 20884 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 162355104 is about 12741.8642278122. The cubic root of 162355104 is about 545.5342000036.

The spelling of 162355104 in words is "one hundred sixty-two million, three hundred fifty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 20879 41758 62637 83516 125274 167032 187911 250548 334064 375822 501096 563733 668128 751644 1002192 1127466 1503288 1691199 2004384 2254932 3006576 3382398 4509864 5073597 6013152 6764796 9019728 10147194 13529592 18039456 20294388 27059184 40588776 54118368 81177552 162355104