Search a number
-
+
163400760 = 23335197963
BaseRepresentation
bin10011011110101…
…00110000111000
3102101110121201000
421233110300320
5313312311020
624114125000
74022612025
oct1157246070
9371417630
10163400760
1184265456
1246880760
1327b11653
14179b654c
15e52a090
hex9bd4c38

163400760 has 128 divisors (see below), whose sum is σ = 573408000. Its totient is φ = 41275008.

The previous prime is 163400737. The next prime is 163400767. The reversal of 163400760 is 67004361.

163400760 is digitally balanced in base 2, 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (163400767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16539 + ... + 24501.

It is an arithmetic number, because the mean of its divisors is an integer number (4479750).

Almost surely, 2163400760 is an apocalyptic number.

163400760 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 163400760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286704000).

163400760 is an abundant number, since it is smaller than the sum of its proper divisors (410007240).

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

163400760 is a wasteful number, since it uses less digits than its factorization.

163400760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8002 (or 7992 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 163400760 is about 12782.8306724293. The cubic root of 163400760 is about 546.7028745269.

The spelling of 163400760 in words is "one hundred sixty-three million, four hundred thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 90 95 108 114 120 135 152 171 180 190 216 228 270 285 342 360 380 456 513 540 570 684 760 855 1026 1080 1140 1368 1710 2052 2280 2565 3420 4104 5130 6840 7963 10260 15926 20520 23889 31852 39815 47778 63704 71667 79630 95556 119445 143334 151297 159260 191112 215001 238890 286668 302594 318520 358335 430002 453891 477780 573336 605188 716670 756485 860004 907782 955560 1075005 1210376 1361673 1433340 1512970 1720008 1815564 2150010 2269455 2723346 2866680 3025940 3631128 4085019 4300020 4538910 5446692 6051880 6808365 8170038 8600040 9077820 10893384 13616730 16340076 18155640 20425095 27233460 32680152 40850190 54466920 81700380 163400760