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4705420300 = 2252719499709
BaseRepresentation
bin1000110000111011…
…10000010000001100
3110010221002010011221
410120131300100030
534114041422200
62054525253124
7224414261350
oct43035602014
913127063157
104705420300
111aa50a5a09
12ab3a041a4
1359cb0ac89
14328cdd460
151c816891a
hex11877040c

4705420300 has 144 divisors (see below), whose sum is σ = 12325600000. Its totient is φ = 1523162880.

The previous prime is 4705420207. The next prime is 4705420301. The reversal of 4705420300 is 30245074.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (4705420301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6636346 + ... + 6637054.

Almost surely, 24705420300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4705420300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6162800000).

4705420300 is an abundant number, since it is smaller than the sum of its proper divisors (7620179700).

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

4705420300 is a wasteful number, since it uses less digits than its factorization.

4705420300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 25.

The square root of 4705420300 is about 68596.0662137414. The cubic root of 4705420300 is about 1675.7123635130.

Adding to 4705420300 its reverse (30245074), we get a palindrome (4735665374).

The spelling of 4705420300 in words is "four billion, seven hundred five million, four hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 140 175 190 266 350 380 475 499 532 665 700 709 950 998 1330 1418 1900 1996 2495 2660 2836 3325 3493 3545 4963 4990 6650 6986 7090 9481 9926 9980 12475 13300 13471 13972 14180 17465 17725 18962 19852 24815 24950 26942 34930 35450 37924 47405 49630 49900 53884 66367 67355 69860 70900 87325 94297 94810 99260 124075 132734 134710 174650 188594 189620 237025 248150 265468 269420 331835 336775 349300 353791 377188 471485 474050 496300 663670 673550 707582 942970 948100 1327340 1347100 1415164 1659175 1768955 1885940 2357425 2476537 3318350 3537910 4714850 4953074 6636700 6722029 7075820 8844775 9429700 9906148 12382685 13444058 17689550 24765370 26888116 33610145 35379100 47054203 49530740 61913425 67220290 94108406 123826850 134440580 168050725 188216812 235271015 247653700 336101450 470542030 672202900 941084060 1176355075 2352710150 4705420300