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520514040 = 233529373401
BaseRepresentation
bin11111000001100…
…110100111111000
31100021102212000210
4133001212213320
52031222422130
6123352231120
715620203434
oct3701464770
91307385023
10520514040
112478a89a2
1212639b4a0
1383ab8497
144d1b59c4
1530a6b5b0
hex1f0669f8

520514040 has 128 divisors (see below), whose sum is σ = 1623758400. Its totient is φ = 133324800.

The previous prime is 520514009. The next prime is 520514119. The reversal of 520514040 is 40415025.

It is a junction number, because it is equal to n+sod(n) for n = 520513998 and 520514016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1297840 + ... + 1298240.

Almost surely, 2520514040 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 520514040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811879200).

520514040 is an abundant number, since it is smaller than the sum of its proper divisors (1103244360).

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

520514040 is a wasteful number, since it uses less digits than its factorization.

520514040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 520514040 is about 22814.7767904926. The cubic root of 520514040 is about 804.4100405897.

Adding to 520514040 its reverse (40415025), we get a palindrome (560929065).

The spelling of 520514040 in words is "five hundred twenty million, five hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 373 401 435 580 696 746 802 870 1119 1160 1203 1492 1604 1740 1865 2005 2238 2406 2984 3208 3480 3730 4010 4476 4812 5595 6015 7460 8020 8952 9624 10817 11190 11629 12030 14920 16040 21634 22380 23258 24060 32451 34887 43268 44760 46516 48120 54085 58145 64902 69774 86536 93032 108170 116290 129804 139548 149573 162255 174435 216340 232580 259608 279096 299146 324510 348870 432680 448719 465160 598292 649020 697740 747865 897438 1196584 1298040 1395480 1495730 1794876 2243595 2991460 3589752 4337617 4487190 5982920 8675234 8974380 13012851 17350468 17948760 21688085 26025702 34700936 43376170 52051404 65064255 86752340 104102808 130128510 173504680 260257020 520514040