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1520420200 = 235213584777
BaseRepresentation
bin101101010011111…
…1100010101101000
310220221221100102021
41122213330111220
511103211421300
6410511514224
752451233645
oct13247742550
93827840367
101520420200
11710268222
12365228974
131b2cc1a30
14105cdadcc
158d72ed1a
hex5a9fc568

1520420200 has 48 divisors (see below), whose sum is σ = 3806904780. Its totient is φ = 561384960.

The previous prime is 1520420173. The next prime is 1520420227. The reversal of 1520420200 is 20240251.

It is an interprime number because it is at equal distance from previous prime (1520420173) and next prime (1520420227).

It can be written as a sum of positive squares in 6 ways, for example, as 49084036 + 1471336164 = 7006^2 + 38358^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 289789 + ... + 294988.

Almost surely, 21520420200 is an apocalyptic number.

1520420200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1520420200 is an abundant number, since it is smaller than the sum of its proper divisors (2286484580).

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

1520420200 is a wasteful number, since it uses less digits than its factorization.

1520420200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584806 (or 584797 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 1520420200 is about 38992.5659581413. The cubic root of 1520420200 is about 1149.8853571917.

Adding to 1520420200 its reverse (20240251), we get a palindrome (1540660451).

The spelling of 1520420200 in words is "one billion, five hundred twenty million, four hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 584777 1169554 2339108 2923885 4678216 5847770 7602101 11695540 14619425 15204202 23391080 29238850 30408404 38010505 58477700 60816808 76021010 116955400 152042020 190052525 304084040 380105050 760210100 1520420200