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520520400 = 243252144589
BaseRepresentation
bin11111000001101…
…000001011010000
31100021110011202100
4133001220023100
52031223123100
6123352320400
715620231121
oct3701501320
91307404670
10520520400
11247902754
121263a3100
1383abb34a
144d1b8048
1530a6d400
hex1f0682d0

520520400 has 90 divisors (see below), whose sum is σ = 1806362870. Its totient is φ = 138804480.

The previous prime is 520520359. The next prime is 520520419. The reversal of 520520400 is 4025025.

It can be written as a sum of positive squares in 3 ways, for example, as 1774224 + 518746176 = 1332^2 + 22776^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 68695 + ... + 75894.

Almost surely, 2520520400 is an apocalyptic number.

520520400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

520520400 is an abundant number, since it is smaller than the sum of its proper divisors (1285842470).

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

520520400 is a wasteful number, since it uses less digits than its factorization.

520520400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144613 (or 144599 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 520520400 is about 22814.9161734160. The cubic root of 520520400 is about 804.4133168555.

Adding to 520520400 its reverse (4025025), we get a palindrome (524545425).

The spelling of 520520400 in words is "five hundred twenty million, five hundred twenty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 144589 289178 433767 578356 722945 867534 1156712 1301301 1445890 1735068 2168835 2313424 2602602 2891780 3470136 3614725 4337670 5205204 5783560 6506505 6940272 7229450 8675340 10410408 10844175 11567120 13013010 14458900 17350680 20820816 21688350 26026020 28917800 32532525 34701360 43376700 52052040 57835600 65065050 86753400 104104080 130130100 173506800 260260200 520520400