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520979440 = 24523594799
BaseRepresentation
bin11111000011011…
…000001111110000
31100022022111102211
4133003120033300
52031332320230
6123410221504
715624152332
oct3703301760
91308274384
10520979440
11248096623
12126584894
1383c1c277
144d297452
1530b0e42a
hex1f0d83f0

520979440 has 80 divisors (see below), whose sum is σ = 1285632000. Its totient is φ = 195911936.

The previous prime is 520979419. The next prime is 520979441. The reversal of 520979440 is 44979025.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 520979393 and 520979402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (520979441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106161 + ... + 110959.

It is an arithmetic number, because the mean of its divisors is an integer number (16070400).

Almost surely, 2520979440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 520979440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642816000).

520979440 is an abundant number, since it is smaller than the sum of its proper divisors (764652560).

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

520979440 is a wasteful number, since it uses less digits than its factorization.

520979440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4894 (or 4888 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 520979440 is about 22824.9740416063. The cubic root of 520979440 is about 804.6497145031.

The spelling of 520979440 in words is "five hundred twenty million, nine hundred seventy-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 59 80 92 115 118 184 230 236 295 368 460 472 590 920 944 1180 1357 1840 2360 2714 4720 4799 5428 6785 9598 10856 13570 19196 21712 23995 27140 38392 47990 54280 76784 95980 108560 110377 191960 220754 283141 383920 441508 551885 566282 883016 1103770 1132564 1415705 1766032 2207540 2265128 2831410 4415080 4530256 5662820 6512243 8830160 11325640 13024486 22651280 26048972 32561215 52097944 65122430 104195888 130244860 260489720 520979440