Search a number
-
+
104107360 = 25574271
BaseRepresentation
bin1100011010010…
…00110101100000
321020220012110011
412031020311200
5203122413420
614155214304
72402620000
oct615106540
9236805404
10104107360
1153847445
122aa47394
13187511b6
14db80000
15921695a
hex6348d60

104107360 has 120 divisors (see below), whose sum is σ = 287987616. Its totient is φ = 35562240.

The previous prime is 104107357. The next prime is 104107369. The reversal of 104107360 is 63701401.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104107369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 384025 + ... + 384295.

Almost surely, 2104107360 is an apocalyptic number.

104107360 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 104107360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143993808).

104107360 is an abundant number, since it is smaller than the sum of its proper divisors (183880256).

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

104107360 is an frugal number, since it uses more digits than its factorization.

104107360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 104107360 is about 10203.3014264992. The cubic root of 104107360 is about 470.4287019524.

Adding to 104107360 its reverse (63701401), we get a palindrome (167808761).

The spelling of 104107360 in words is "one hundred four million, one hundred seven thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 271 280 343 392 490 542 560 686 784 980 1084 1120 1355 1372 1568 1715 1897 1960 2168 2401 2710 2744 3430 3794 3920 4336 4802 5420 5488 6860 7588 7840 8672 9485 9604 10840 10976 12005 13279 13720 15176 18970 19208 21680 24010 26558 27440 30352 37940 38416 43360 48020 53116 54880 60704 66395 75880 76832 92953 96040 106232 132790 151760 185906 192080 212464 265580 303520 371812 384160 424928 464765 531160 650671 743624 929530 1062320 1301342 1487248 1859060 2124640 2602684 2974496 3253355 3718120 5205368 6506710 7436240 10410736 13013420 14872480 20821472 26026840 52053680 104107360