Search a number
-
+
103480300 = 225271189151
BaseRepresentation
bin1100010101011…
…11101111101100
321012201100021201
412022233233230
5202442332200
614133535244
72364365560
oct612575754
9235640251
10103480300
1153459310
122a7a4524
1318591961
14da596a0
159140c6a
hex62afbec

103480300 has 144 divisors (see below), whose sum is σ = 284981760. Its totient is φ = 31680000.

The previous prime is 103480297. The next prime is 103480331. The reversal of 103480300 is 3084301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 685225 + ... + 685375.

It is an arithmetic number, because the mean of its divisors is an integer number (1979040).

Almost surely, 2103480300 is an apocalyptic number.

103480300 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 103480300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142490880).

103480300 is an abundant number, since it is smaller than the sum of its proper divisors (181501460).

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

103480300 is a wasteful number, since it uses less digits than its factorization.

103480300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 103480300 is about 10172.5267264333. The cubic root of 103480300 is about 469.4823030700.

The spelling of 103480300 in words is "one hundred three million, four hundred eighty thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 89 100 110 140 151 154 175 178 220 275 302 308 350 356 385 445 550 604 623 700 755 770 890 979 1057 1100 1246 1510 1540 1661 1780 1925 1958 2114 2225 2492 3020 3115 3322 3775 3850 3916 4228 4450 4895 5285 6230 6644 6853 7550 7700 8305 8900 9790 10570 11627 12460 13439 13706 15100 15575 16610 19580 21140 23254 24475 26425 26878 27412 31150 33220 34265 41525 46508 48950 52850 53756 58135 62300 67195 68530 83050 94073 97900 105700 116270 134390 137060 147829 166100 171325 188146 232540 268780 290675 295658 335975 342650 376292 470365 581350 591316 671950 685300 739145 940730 1034803 1162700 1343900 1478290 1881460 2069606 2351825 2956580 3695725 4139212 4703650 5174015 7391450 9407300 10348030 14782900 20696060 25870075 51740150 103480300