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2520073320 = 233529224971
BaseRepresentation
bin1001011000110101…
…0100010001101000
320111121221222200220
42112031110101220
520130114321240
61054021530040
7116310161352
oct22615242150
96447858626
102520073320
111083574426
125a3b73920
1331213a05b
1419c9980d2
15eb3935d0
hex96354468

2520073320 has 96 divisors (see below), whose sum is σ = 7830220320. Its totient is φ = 648820480.

The previous prime is 2520073301. The next prime is 2520073327. The reversal of 2520073320 is 233700252.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2520073327) 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 23 ways as a sum of consecutive naturals, for example, 88435 + ... + 113405.

It is an arithmetic number, because the mean of its divisors is an integer number (81564795).

Almost surely, 22520073320 is an apocalyptic number.

2520073320 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 2520073320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3915110160).

2520073320 is an abundant number, since it is smaller than the sum of its proper divisors (5310147000).

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

2520073320 is a wasteful number, since it uses less digits than its factorization.

2520073320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25043 (or 25010 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 24.

The square root of 2520073320 is about 50200.3318714130. The cubic root of 2520073320 is about 1360.8316208414.

Adding to 2520073320 its reverse (233700252), we get a palindrome (2753773572).

The spelling of 2520073320 in words is "two billion, five hundred twenty million, seventy-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 841 870 1160 1682 1740 2523 3364 3480 4205 5046 6728 8410 10092 12615 16820 20184 24971 25230 33640 49942 50460 74913 99884 100920 124855 149826 199768 249710 299652 374565 499420 599304 724159 749130 998840 1448318 1498260 2172477 2896636 2996520 3620795 4344954 5793272 7241590 8689908 10862385 14483180 17379816 21000611 21724770 28966360 42001222 43449540 63001833 84002444 86899080 105003055 126003666 168004888 210006110 252007332 315009165 420012220 504014664 630018330 840024440 1260036660 2520073320