Search a number
-
+
164596140 = 223254122303
BaseRepresentation
bin10011100111110…
…00100110101100
3102110201100110100
421303320212230
5314114034030
624155511100
74036021062
oct1163704654
9373640410
10164596140
1184a01575
1247158490
132813c787
1417c08032
15e6b4360
hex9cf89ac

164596140 has 72 divisors (see below), whose sum is σ = 511475328. Its totient is φ = 42819840.

The previous prime is 164596123. The next prime is 164596147. The reversal of 164596140 is 41695461.

164596140 is a `hidden beast` number, since 1 + 64 + 596 + 1 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 164596095 and 164596104.

It is not an unprimeable number, because it can be changed into a prime (164596147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3772 + ... + 18531.

It is an arithmetic number, because the mean of its divisors is an integer number (7103824).

Almost surely, 2164596140 is an apocalyptic number.

164596140 is a gapful number since it is divisible by the number (10) 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 164596140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255737664).

164596140 is an abundant number, since it is smaller than the sum of its proper divisors (346879188).

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

164596140 is a wasteful number, since it uses less digits than its factorization.

164596140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22359 (or 22354 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 164596140 is about 12829.5027183442. The cubic root of 164596140 is about 548.0327959132.

The spelling of 164596140 in words is "one hundred sixty-four million, five hundred ninety-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 22303 44606 66909 89212 111515 133818 200727 223030 267636 334545 401454 446060 669090 802908 914423 1003635 1338180 1828846 2007270 2743269 3657692 4014540 4572115 5486538 8229807 9144230 10973076 13716345 16459614 18288460 27432690 32919228 41149035 54865380 82298070 164596140