Search a number
-
+
161315712 = 273415559
BaseRepresentation
bin10011001110101…
…11101110000000
3102020112200120000
421213113232000
5312244100322
624001320000
73666106125
oct1147275600
9366480500
10161315712
1183070978
1246036000
13275615ac
14175d274c
15e2673ac
hex99d7b80

161315712 has 80 divisors (see below), whose sum is σ = 480103800. Its totient is φ = 53768448.

The previous prime is 161315711. The next prime is 161315743. The reversal of 161315712 is 217513161.

161315712 is a `hidden beast` number, since 1 + 61 + 31 + 571 + 2 = 666.

161315712 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 (161315711) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2589 + ... + 18147.

Almost surely, 2161315712 is an apocalyptic number.

161315712 is a gapful number since it is divisible by the number (12) 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 161315712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240051900).

161315712 is an abundant number, since it is smaller than the sum of its proper divisors (318788088).

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

161315712 is an equidigital number, since it uses as much as digits as its factorization.

161315712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15585 (or 15564 counting only the distinct ones).

The product of its digits is 1260, while the sum is 27.

The square root of 161315712 is about 12701.0122431246. The cubic root of 161315712 is about 544.3675428551.

Adding to 161315712 its reverse (217513161), we get a palindrome (378828873).

The spelling of 161315712 in words is "one hundred sixty-one million, three hundred fifteen thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 10368 15559 31118 46677 62236 93354 124472 140031 186708 248944 280062 373416 420093 497888 560124 746832 840186 995776 1120248 1260279 1493664 1680372 1991552 2240496 2520558 2987328 3360744 4480992 5041116 5974656 6721488 8961984 10082232 13442976 17923968 20164464 26885952 40328928 53771904 80657856 161315712