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2012446720 = 215571173
BaseRepresentation
bin111011111110011…
…1000000000000000
312012020202212220201
41313330320000000
513110141243340
6531405414544
7100604341414
oct16774700000
95166685821
102012446720
11942a79009
12481b6a454
13260c1479b
141513b8d44
15bba2079a
hex77f38000

2012446720 has 128 divisors (see below), whose sum is σ = 4926134880. Its totient is φ = 789053440.

The previous prime is 2012446717. The next prime is 2012446721. The reversal of 2012446720 is 276442102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012446721) 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 7 ways as a sum of consecutive naturals, for example, 11632554 + ... + 11632726.

Almost surely, 22012446720 is an apocalyptic number.

2012446720 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 2012446720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2463067440).

2012446720 is an abundant number, since it is smaller than the sum of its proper divisors (2913688160).

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

2012446720 is an frugal number, since it uses more digits than its factorization.

2012446720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 2012446720 is about 44860.3022727221. The cubic root of 2012446720 is about 1262.5292940953.

Adding to 2012446720 its reverse (276442102), we get a palindrome (2288888822).

The spelling of 2012446720 in words is "two billion, twelve million, four hundred forty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 128 142 160 173 256 284 320 346 355 512 568 640 692 710 865 1024 1136 1280 1384 1420 1730 2048 2272 2560 2768 2840 3460 4096 4544 5120 5536 5680 6920 8192 9088 10240 11072 11360 12283 13840 16384 18176 20480 22144 22720 24566 27680 32768 36352 40960 44288 45440 49132 55360 61415 72704 81920 88576 90880 98264 110720 122830 145408 163840 177152 181760 196528 221440 245660 290816 354304 363520 393056 442880 491320 581632 708608 727040 786112 885760 982640 1163264 1417216 1454080 1572224 1771520 1965280 2326528 2834432 2908160 3144448 3543040 3930560 5668864 5816320 6288896 7086080 7861120 11632640 12577792 14172160 15722240 25155584 28344320 31444480 50311168 62888960 100622336 125777920 201244672 251555840 402489344 503111680 1006223360 2012446720