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163104040 = 235112371227
BaseRepresentation
bin10011011100011…
…00010100101000
3102100220112200101
421232030110220
5313223312130
624103515144
74020234661
oct1156142450
9370815611
10163104040
1184082530
1246758ab4
1327a39588
141793a368
15e4bc1ca
hex9b8c528

163104040 has 128 divisors (see below), whose sum is σ = 425502720. Its totient is φ = 55686400.

The previous prime is 163104013. The next prime is 163104041. The reversal of 163104040 is 40401361.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 163103999 and 163104017.

It is not an unprimeable number, because it can be changed into a prime (163104041) 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, 718407 + ... + 718633.

It is an arithmetic number, because the mean of its divisors is an integer number (3324240).

Almost surely, 2163104040 is an apocalyptic number.

163104040 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 163104040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212751360).

163104040 is an abundant number, since it is smaller than the sum of its proper divisors (262398680).

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

163104040 is a wasteful number, since it uses less digits than its factorization.

163104040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 163104040 is about 12771.2192056984. The cubic root of 163104040 is about 546.3717541440.

The spelling of 163104040 in words is "one hundred sixty-three million, one hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 71 88 92 110 115 142 184 220 227 230 253 284 355 440 454 460 506 568 710 781 908 920 1012 1135 1265 1420 1562 1633 1816 2024 2270 2497 2530 2840 3124 3266 3905 4540 4994 5060 5221 6248 6532 7810 8165 9080 9988 10120 10442 12485 13064 15620 16117 16330 17963 19976 20884 24970 26105 31240 32234 32660 35926 41768 49940 52210 57431 64468 65320 71852 80585 89815 99880 104420 114862 128936 143704 161170 177287 179630 208840 229724 287155 322340 354574 359260 370691 459448 574310 644680 709148 718520 741382 886435 1148620 1418296 1482764 1772870 1853455 2297240 2965528 3545740 3706910 4077601 7091480 7413820 8155202 14827640 16310404 20388005 32620808 40776010 81552020 163104040