Search a number
-
+
1150002320 = 245431093067
BaseRepresentation
bin100010010001011…
…1010010010010000
32222010221011121112
41010202322102100
54323400033240
6310040312452
740332600305
oct10442722220
92863834545
101150002320
11540167845
12281172728
1315433a15c
14aca370ac
156ae61665
hex448ba490

1150002320 has 80 divisors (see below), whose sum is σ = 2761936320. Its totient is φ = 445036032.

The previous prime is 1150002307. The next prime is 1150002331. The reversal of 1150002320 is 232000511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1150002295 and 1150002304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 373427 + ... + 376493.

It is an arithmetic number, because the mean of its divisors is an integer number (34524204).

Almost surely, 21150002320 is an apocalyptic number.

1150002320 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 1150002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380968160).

1150002320 is an abundant number, since it is smaller than the sum of its proper divisors (1611934000).

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

1150002320 is a wasteful number, since it uses less digits than its factorization.

1150002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3232 (or 3226 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 1150002320 is about 33911.6841221429. The cubic root of 1150002320 is about 1047.6902577044.

Adding to 1150002320 its reverse (232000511), we get a palindrome (1382002831).

The spelling of 1150002320 in words is "one billion, one hundred fifty million, two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 109 172 215 218 344 430 436 545 688 860 872 1090 1720 1744 2180 3067 3440 4360 4687 6134 8720 9374 12268 15335 18748 23435 24536 30670 37496 46870 49072 61340 74992 93740 122680 131881 187480 245360 263762 334303 374960 527524 659405 668606 1055048 1318810 1337212 1671515 2110096 2637620 2674424 3343030 5275240 5348848 6686060 10550480 13372120 14375029 26744240 28750058 57500116 71875145 115000232 143750290 230000464 287500580 575001160 1150002320