Search a number
-
+
104573280 = 2535731123
BaseRepresentation
bin1100011101110…
…10100101100000
321021202212120110
412032322211200
5203232321110
614213211320
72406600240
oct616724540
9237685513
10104573280
11540354a9
122b030b40
13188852a6
14dc61b20
1592a9a20
hex63ba960

104573280 has 96 divisors (see below), whose sum is σ = 376475904. Its totient is φ = 23901696.

The previous prime is 104573269. The next prime is 104573281. The reversal of 104573280 is 82375401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104573281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12202 + ... + 18921.

It is an arithmetic number, because the mean of its divisors is an integer number (3921624).

Almost surely, 2104573280 is an apocalyptic number.

104573280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104573280 is an abundant number, since it is smaller than the sum of its proper divisors (271902624).

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

104573280 is a wasteful number, since it uses less digits than its factorization.

104573280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31148 (or 31140 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 104573280 is about 10226.1077639540. The cubic root of 104573280 is about 471.1294400395.

The spelling of 104573280 in words is "one hundred four million, five hundred seventy-three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 31123 62246 93369 124492 155615 186738 217861 248984 311230 373476 435722 466845 497968 622460 653583 746952 871444 933690 995936 1089305 1244920 1307166 1493904 1742888 1867380 2178610 2489840 2614332 2987808 3267915 3485776 3734760 4357220 4979680 5228664 6535830 6971552 7469520 8714440 10457328 13071660 14939040 17428880 20914656 26143320 34857760 52286640 104573280