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1980684288 = 21132119769
BaseRepresentation
bin111011000001110…
…1101100000000000
312010001000012001100
41312003231200000
513024023344123
6524312534400
7100040352522
oct16603554000
95101005040
101980684288
11927054470
124733b1400
1325747354b
1414b0aba12
15b8d49643
hex760ed800

1980684288 has 144 divisors (see below), whose sum is σ = 6241271400. Its totient is φ = 600145920.

The previous prime is 1980684283. The next prime is 1980684289. The reversal of 1980684288 is 8824860891.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×19806842882 = 7846220497460133888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1980684283) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 197868 + ... + 207636.

Almost surely, 21980684288 is an apocalyptic number.

1980684288 is a gapful number since it is divisible by the number (18) 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 1980684288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3120635700).

1980684288 is an abundant number, since it is smaller than the sum of its proper divisors (4260587112).

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

1980684288 is a wasteful number, since it uses less digits than its factorization.

1980684288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9808 (or 9785 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The square root of 1980684288 is about 44504.8793729407. The cubic root of 1980684288 is about 1255.8518764561.

The spelling of 1980684288 in words is "one billion, nine hundred eighty million, six hundred eighty-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1024 1056 1152 1408 1536 1584 2048 2112 2304 2816 3072 3168 4224 4608 5632 6144 6336 8448 9216 9769 11264 12672 16896 18432 19538 22528 25344 29307 33792 39076 50688 58614 67584 78152 87921 101376 107459 117228 156304 175842 202752 214918 234456 312608 322377 351684 429836 468912 625216 644754 703368 859672 937824 967131 1250432 1289508 1406736 1719344 1875648 1934262 2500864 2579016 2813472 3438688 3751296 3868524 5001728 5158032 5626944 6877376 7502592 7737048 10003456 10316064 11253888 13754752 15005184 15474096 20006912 20632128 22507776 27509504 30010368 30948192 41264256 45015552 55019008 60020736 61896384 82528512 90031104 110038016 123792768 165057024 180062208 220076032 247585536 330114048 495171072 660228096 990342144 1980684288