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2000001320 = 235419191327
BaseRepresentation
bin111011100110101…
…1001100100101000
312011101100121000222
41313031121210220
513044000020240
6530242545212
7100363505432
oct16715314450
95141317028
102000001320
11936a48659
12479968208
1325b477b45
1414d899652
15ba8b2eb5
hex77359928

2000001320 has 64 divisors (see below), whose sum is σ = 4618252800. Its totient is φ = 779051520.

The previous prime is 2000001287. The next prime is 2000001349. The reversal of 2000001320 is 231000002.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 2000001298 and 2000001307.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1506497 + ... + 1507823.

It is an arithmetic number, because the mean of its divisors is an integer number (72160200).

Almost surely, 22000001320 is an apocalyptic number.

2000001320 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 2000001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2309126400).

2000001320 is an abundant number, since it is smaller than the sum of its proper divisors (2618251480).

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

2000001320 is a wasteful number, since it uses less digits than its factorization.

2000001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2298 (or 2294 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 2000001320 is about 44721.3743080420. The cubic root of 2000001320 is about 1259.9213270774.

Adding to 2000001320 its reverse (231000002), we get a palindrome (2231001322).

The spelling of 2000001320 in words is "two billion, one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 919 1327 1640 1838 2654 3676 4595 5308 6635 7352 9190 10616 13270 18380 26540 36760 37679 53080 54407 75358 108814 150716 188395 217628 272035 301432 376790 435256 544070 753580 1088140 1219513 1507160 2176280 2439026 4878052 6097565 9756104 12195130 24390260 48780520 50000033 100000066 200000132 250000165 400000264 500000330 1000000660 2000001320