Search a number
-
+
104540480 = 26511171747
BaseRepresentation
bin1100011101100…
…10100101000000
321021201012120122
412032302211000
5203230243410
614212355412
72406402512
oct616624500
9237635518
10104540480
11540128a0
122b015b68
1318873395
14dc53bb2
15929ee55
hex63b2940

104540480 has 112 divisors (see below), whose sum is σ = 287706816. Its totient is φ = 35758080.

The previous prime is 104540479. The next prime is 104540521. The reversal of 104540480 is 84045401.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 58967 + ... + 60713.

Almost surely, 2104540480 is an apocalyptic number.

104540480 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 104540480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143853408).

104540480 is an abundant number, since it is smaller than the sum of its proper divisors (183166336).

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

104540480 is a wasteful number, since it uses less digits than its factorization.

104540480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 104540480 is about 10224.5038999455. The cubic root of 104540480 is about 471.0801774186.

Adding to 104540480 its reverse (84045401), we get a palindrome (188585881).

The spelling of 104540480 in words is "one hundred four million, five hundred forty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 64 68 80 85 88 110 136 160 170 176 187 220 272 320 340 352 374 440 544 680 704 748 880 935 1088 1360 1496 1747 1760 1870 2720 2992 3494 3520 3740 5440 5984 6988 7480 8735 11968 13976 14960 17470 19217 27952 29699 29920 34940 38434 55904 59398 59840 69880 76868 96085 111808 118796 139760 148495 153736 192170 237592 279520 296990 307472 326689 384340 475184 559040 593980 614944 653378 768680 950368 1187960 1229888 1306756 1537360 1633445 1900736 2375920 2613512 3074720 3266890 4751840 5227024 6149440 6533780 9503680 10454048 13067560 20908096 26135120 52270240 104540480