Search a number
-
+
194004160 = 2657257337
BaseRepresentation
bin10111001000001…
…00010011000000
3111112001102200021
423210010103000
5344131113120
631130103224
74544002540
oct1344042300
9445042607
10194004160
119a568219
1254b7ab14
133126817c
141baa1320
1512072aaa
hexb9044c0

194004160 has 112 divisors (see below), whose sum is σ = 531595584. Its totient is φ = 66060288.

The previous prime is 194004137. The next prime is 194004191. The reversal of 194004160 is 61400491.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1940041602 = 75275228194611200, which contains 22 as substring.

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, 575512 + ... + 575848.

Almost surely, 2194004160 is an apocalyptic number.

194004160 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 194004160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265797792).

194004160 is an abundant number, since it is smaller than the sum of its proper divisors (337591424).

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

194004160 is a wasteful number, since it uses less digits than its factorization.

194004160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 194004160 is about 13928.5376116806. The cubic root of 194004160 is about 578.9001749903.

The spelling of 194004160 in words is "one hundred ninety-four million, four thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 257 280 320 337 448 514 560 674 1028 1120 1285 1348 1685 1799 2056 2240 2359 2570 2696 3370 3598 4112 4718 5140 5392 6740 7196 8224 8995 9436 10280 10784 11795 13480 14392 16448 17990 18872 20560 21568 23590 26960 28784 35980 37744 41120 47180 53920 57568 71960 75488 82240 86609 94360 107840 115136 143920 150976 173218 188720 287840 346436 377440 433045 575680 606263 692872 754880 866090 1212526 1385744 1732180 2425052 2771488 3031315 3464360 4850104 5542976 6062630 6928720 9700208 12125260 13857440 19400416 24250520 27714880 38800832 48501040 97002080 194004160