Search a number
-
+
163661040 = 24335174457
BaseRepresentation
bin10011100000101…
…00010011110000
3102101221211202000
421300110103300
5313344123130
624123454000
74025044614
oct1160242360
9371854660
10163661040
1184422a64
1246987300
1327ba2c6a
1417a43344
15e57c260
hex9c144f0

163661040 has 160 divisors (see below), whose sum is σ = 597015360. Its totient is φ = 41066496.

The previous prime is 163661021. The next prime is 163661063. The reversal of 163661040 is 40166361.

163661040 is a `hidden beast` number, since 1 + 6 + 3 + 6 + 610 + 40 = 666.

163661040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 163660995 and 163661013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34492 + ... + 38948.

It is an arithmetic number, because the mean of its divisors is an integer number (3731346).

Almost surely, 2163661040 is an apocalyptic number.

163661040 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 163661040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298507680).

163661040 is an abundant number, since it is smaller than the sum of its proper divisors (433354320).

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

163661040 is a wasteful number, since it uses less digits than its factorization.

163661040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4496 (or 4484 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 163661040 is about 12793.0074650178. The cubic root of 163661040 is about 546.9930003438.

The spelling of 163661040 in words is "one hundred sixty-three million, six hundred sixty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 34 36 40 45 48 51 54 60 68 72 80 85 90 102 108 120 135 136 144 153 170 180 204 216 240 255 270 272 306 340 360 408 432 459 510 540 612 680 720 765 816 918 1020 1080 1224 1360 1530 1836 2040 2160 2295 2448 3060 3672 4080 4457 4590 6120 7344 8914 9180 12240 13371 17828 18360 22285 26742 35656 36720 40113 44570 53484 66855 71312 75769 80226 89140 106968 120339 133710 151538 160452 178280 200565 213936 227307 240678 267420 303076 320904 356560 378845 401130 454614 481356 534840 601695 606152 641808 681921 757690 802260 909228 962712 1069680 1136535 1203390 1212304 1363842 1515380 1604520 1818456 1925424 2045763 2273070 2406780 2727684 3030760 3209040 3409605 3636912 4091526 4546140 4813560 5455368 6061520 6819210 8183052 9092280 9627120 10228815 10910736 13638420 16366104 18184560 20457630 27276840 32732208 40915260 54553680 81830520 163661040