Search a number
-
+
163109408 = 25711531249
BaseRepresentation
bin10011011100011…
…01101000100000
3102100220211001012
421232031220200
5313224000113
624104000052
74020256430
oct1156155040
9370824035
10163109408
1184086570
1246760028
1327a3bb57
141793c2c0
15e4bdaa8
hex9b8da20

163109408 has 96 divisors (see below), whose sum is σ = 408240000. Its totient is φ = 62300160.

The previous prime is 163109389. The next prime is 163109413. The reversal of 163109408 is 804901361.

It is a happy number.

It is a super-2 number, since 2×1631094082 = 53209357956220928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 129968 + ... + 131216.

It is an arithmetic number, because the mean of its divisors is an integer number (4252500).

Almost surely, 2163109408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163109408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204120000).

163109408 is an abundant number, since it is smaller than the sum of its proper divisors (245130592).

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

163109408 is a wasteful number, since it uses less digits than its factorization.

163109408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 163109408 is about 12771.4293640140. The cubic root of 163109408 is about 546.3777480511.

The spelling of 163109408 in words is "one hundred sixty-three million, one hundred nine thousand, four hundred eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 53 56 77 88 106 112 154 176 212 224 308 352 371 424 583 616 742 848 1166 1232 1249 1484 1696 2332 2464 2498 2968 4081 4664 4996 5936 8162 8743 9328 9992 11872 13739 16324 17486 18656 19984 27478 32648 34972 39968 54956 65296 66197 69944 96173 109912 130592 132394 139888 192346 219824 264788 279776 384692 439648 463379 529576 728167 769384 926758 1059152 1456334 1538768 1853516 2118304 2912668 3077536 3707032 5097169 5825336 7414064 10194338 11650672 14828128 20388676 23301344 40777352 81554704 163109408