Search a number
-
+
1200051020 = 225719974651
BaseRepresentation
bin100011110000111…
…0101001101001100
310002122002220112002
41013201311031030
54424203113040
6315025131432
741511160010
oct10741651514
93078086462
101200051020
11566441103
12295a89b78
1316181177c
14b5544540
157054aa15
hex4787534c

1200051020 has 96 divisors (see below), whose sum is σ = 3063621120. Its totient is φ = 385689600.

The previous prime is 1200051011. The next prime is 1200051037. The reversal of 1200051020 is 201500021.

It is a junction number, because it is equal to n+sod(n) for n = 1200050992 and 1200051010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255695 + ... + 260345.

It is an arithmetic number, because the mean of its divisors is an integer number (31912720).

Almost surely, 21200051020 is an apocalyptic number.

1200051020 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 1200051020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531810560).

1200051020 is an abundant number, since it is smaller than the sum of its proper divisors (1863570100).

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

1200051020 is a wasteful number, since it uses less digits than its factorization.

1200051020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4783 (or 4781 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 1200051020 is about 34641.7525538186. The cubic root of 1200051020 is about 1062.6736292026.

Adding to 1200051020 its reverse (201500021), we get a palindrome (1401551041).

The spelling of 1200051020 in words is "one billion, two hundred million, fifty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 97 133 140 190 194 266 380 388 485 532 665 679 970 1330 1358 1843 1940 2660 2716 3395 3686 4651 6790 7372 9215 9302 12901 13580 18430 18604 23255 25802 32557 36860 46510 51604 64505 65114 88369 93020 129010 130228 162785 176738 258020 325570 353476 441845 451147 618583 651140 883690 902294 1237166 1767380 1804588 2255735 2474332 3092915 3158029 4511470 6185830 6316058 8571793 9022940 12371660 12632116 15790145 17143586 31580290 34287172 42858965 60002551 63160580 85717930 120005102 171435860 240010204 300012755 600025510 1200051020