Search a number
-
+
1206455320 = 2357171911327
BaseRepresentation
bin100011111101001…
…0000110000011000
310010002011021120101
41013322100300120
54432323032240
6315414305144
741616462310
oct10772206030
93102137511
101206455320
1156a015814
122980581b4
13162c447b5
14b6330440
1570db339a
hex47e90c18

1206455320 has 128 divisors (see below), whose sum is σ = 3304488960. Its totient is φ = 386979840.

The previous prime is 1206455311. The next prime is 1206455321. The reversal of 1206455320 is 235546021.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1206455321) 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 31 ways as a sum of consecutive naturals, for example, 908497 + ... + 909823.

It is an arithmetic number, because the mean of its divisors is an integer number (25816320).

Almost surely, 21206455320 is an apocalyptic number.

1206455320 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 1206455320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652244480).

1206455320 is an abundant number, since it is smaller than the sum of its proper divisors (2098033640).

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

1206455320 is a wasteful number, since it uses less digits than its factorization.

1206455320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 1206455320 is about 34734.0656992527. The cubic root of 1206455320 is about 1064.5606628300.

The spelling of 1206455320 in words is "one billion, two hundred six million, four hundred fifty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 191 238 280 340 382 476 595 680 764 952 955 1190 1327 1337 1528 1910 2380 2654 2674 3247 3820 4760 5308 5348 6494 6635 6685 7640 9289 10616 10696 12988 13270 13370 16235 18578 22559 22729 25976 26540 26740 32470 37156 45118 45458 46445 53080 53480 64940 74312 90236 90916 92890 112795 113645 129880 157913 180472 181832 185780 225590 227290 253457 315826 371560 451180 454580 506914 631652 789565 902360 909160 1013828 1263304 1267285 1579130 1774199 2027656 2534570 3158260 3548398 4308769 5069140 6316520 7096796 8617538 8870995 10138280 14193592 17235076 17741990 21543845 30161383 34470152 35483980 43087690 60322766 70967960 86175380 120645532 150806915 172350760 241291064 301613830 603227660 1206455320