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520311400 = 23527253093
BaseRepresentation
bin11111000000110…
…101001001101000
31100021001120001121
4133000311021220
52031144431100
6123344025024
715615400600
oct3700651150
91307046047
10520311400
1124777a724
12126302174
1383a4718b
144d161c00
1530a2b51a
hex1f035268

520311400 has 72 divisors (see below), whose sum is σ = 1407256470. Its totient is φ = 178389120.

The previous prime is 520311377. The next prime is 520311439. The reversal of 520311400 is 4113025.

It can be written as a sum of positive squares in 3 ways, for example, as 442765764 + 77545636 = 21042^2 + 8806^2 .

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 16747 + ... + 36346.

Almost surely, 2520311400 is an apocalyptic number.

520311400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

520311400 is an abundant number, since it is smaller than the sum of its proper divisors (886945070).

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

520311400 is a wasteful number, since it uses less digits than its factorization.

520311400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53123 (or 53107 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 520311400 is about 22810.3353767541. The cubic root of 520311400 is about 804.3056394300.

Adding to 520311400 its reverse (4113025), we get a palindrome (524424425).

The spelling of 520311400 in words is "five hundred twenty million, three hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2450 4900 9800 53093 106186 212372 265465 371651 424744 530930 743302 1061860 1327325 1486604 1858255 2123720 2601557 2654650 2973208 3716510 5203114 5309300 7433020 9291275 10406228 10618600 13007785 14866040 18582550 20812456 26015570 37165100 52031140 65038925 74330200 104062280 130077850 260155700 520311400