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2120332480 = 26571755681
BaseRepresentation
bin111111001100001…
…1011010011000000
312110202210001100121
41332120123103000
513320301114410
6550222030024
7103354346230
oct17630332300
95422701317
102120332480
119989661a2
124b2118314
1327a389706
1416185dcc0
15c62319da
hex7e61b4c0

2120332480 has 112 divisors (see below), whose sum is σ = 6109874496. Its totient is φ = 684195840.

The previous prime is 2120332439. The next prime is 2120332499. The reversal of 2120332480 is 842330212.

It is a tau number, because it is divible by the number of its divisors (112).

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, 10240 + ... + 65920.

Almost surely, 22120332480 is an apocalyptic number.

2120332480 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 2120332480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3054937248).

2120332480 is an abundant number, since it is smaller than the sum of its proper divisors (3989542016).

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

2120332480 is a wasteful number, since it uses less digits than its factorization.

2120332480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55722 (or 55712 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 2120332480 is about 46047.0680934194. The cubic root of 2120332480 is about 1284.6988105438.

Adding to 2120332480 its reverse (842330212), we get a palindrome (2962662692).

The spelling of 2120332480 in words is "two billion, one hundred twenty million, three hundred thirty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 64 68 70 80 85 112 119 136 140 160 170 224 238 272 280 320 340 448 476 544 560 595 680 952 1088 1120 1190 1360 1904 2240 2380 2720 3808 4760 5440 7616 9520 19040 38080 55681 111362 222724 278405 389767 445448 556810 779534 890896 946577 1113620 1559068 1781792 1893154 1948835 2227240 3118136 3563584 3786308 3897670 4454480 4732885 6236272 6626039 7572616 7795340 8908960 9465770 12472544 13252078 15145232 15590680 17817920 18931540 24945088 26504156 30290464 31181360 33130195 37863080 53008312 60580928 62362720 66260390 75726160 106016624 124725440 132520780 151452320 212033248 265041560 302904640 424066496 530083120 1060166240 2120332480