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2001302320 = 2451071132069
BaseRepresentation
bin111011101001001…
…0111001100110000
312011110210200200011
41313102113030300
513044313133240
6530330504304
7100410534433
oct16722271460
95143720604
102001302320
11937757066
1247a295094
1325b812074
1414db1781a
15baa6d6ea
hex77497330

2001302320 has 80 divisors (see below), whose sum is σ = 4740366240. Its totient is φ = 785641472.

The previous prime is 2001302311. The next prime is 2001302323. The reversal of 2001302320 is 232031002.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2001302320.

It is not an unprimeable number, because it can be changed into a prime (2001302323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 966246 + ... + 968314.

It is an arithmetic number, because the mean of its divisors is an integer number (59254578).

Almost surely, 22001302320 is an apocalyptic number.

2001302320 is a gapful number since it is divisible by the number (20) 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 2001302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2370183120).

2001302320 is an abundant number, since it is smaller than the sum of its proper divisors (2739063920).

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

2001302320 is a wasteful number, since it uses less digits than its factorization.

2001302320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2302 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 2001302320 is about 44735.9175607252. The cubic root of 2001302320 is about 1260.1944606224.

Adding to 2001302320 its reverse (232031002), we get a palindrome (2233333322).

The spelling of 2001302320 in words is "two billion, one million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 107 113 214 226 428 452 535 565 856 904 1070 1130 1712 1808 2069 2140 2260 4138 4280 4520 8276 8560 9040 10345 12091 16552 20690 24182 33104 41380 48364 60455 82760 96728 120910 165520 193456 221383 233797 241820 442766 467594 483640 885532 935188 967280 1106915 1168985 1771064 1870376 2213830 2337970 3542128 3740752 4427660 4675940 8855320 9351880 17710640 18703760 25016279 50032558 100065116 125081395 200130232 250162790 400260464 500325580 1000651160 2001302320