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163801040 = 24513239659
BaseRepresentation
bin10011100001101…
…10011111010000
3102102012221210012
421300312133100
5313413113130
624130454052
74026200024
oct1160663720
9372187705
10163801040
1184509167
1246a34328
1327c218c0
1417a7c384
15e5a8995
hex9c367d0

163801040 has 80 divisors (see below), whose sum is σ = 412473600. Its totient is φ = 60135936.

The previous prime is 163801039. The next prime is 163801073. The reversal of 163801040 is 40108361.

163801040 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 (80).

It is a junction number, because it is equal to n+sod(n) for n = 163800997 and 163801015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248231 + ... + 248889.

It is an arithmetic number, because the mean of its divisors is an integer number (5155920).

Almost surely, 2163801040 is an apocalyptic number.

163801040 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 163801040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206236800).

163801040 is an abundant number, since it is smaller than the sum of its proper divisors (248672560).

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

163801040 is a wasteful number, since it uses less digits than its factorization.

163801040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 163801040 is about 12798.4780345164. The cubic root of 163801040 is about 547.1489266708.

The spelling of 163801040 in words is "one hundred sixty-three million, eight hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 239 260 478 520 659 956 1040 1195 1318 1912 2390 2636 3107 3295 3824 4780 5272 6214 6590 8567 9560 10544 12428 13180 15535 17134 19120 24856 26360 31070 34268 42835 49712 52720 62140 68536 85670 124280 137072 157501 171340 248560 315002 342680 630004 685360 787505 1260008 1575010 2047513 2520016 3150020 4095026 6300040 8190052 10237565 12600080 16380104 20475130 32760208 40950260 81900520 163801040