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120206564 = 221012331277
BaseRepresentation
bin1110010101000…
…11010011100100
322101012010101222
413022203103210
5221233102224
615532235512
72656511312
oct712432344
9271163358
10120206564
1161942a75
123430bb98
131bb99c5a
1411d710b2
15a846b5e
hex72a34e4

120206564 has 24 divisors (see below), whose sum is σ = 213523128. Its totient is φ = 59206400.

The previous prime is 120206551. The next prime is 120206573. The reversal of 120206564 is 465602021.

It can be written as a sum of positive squares in 4 ways, for example, as 39062500 + 81144064 = 6250^2 + 9008^2 .

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 7 ways as a sum of consecutive naturals, for example, 93494 + ... + 94770.

It is an arithmetic number, because the mean of its divisors is an integer number (8896797).

Almost surely, 2120206564 is an apocalyptic number.

It is an amenable number.

120206564 is a deficient number, since it is larger than the sum of its proper divisors (93316564).

120206564 is a wasteful number, since it uses less digits than its factorization.

120206564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 120206564 is about 10963.8754097263. The cubic root of 120206564 is about 493.5252696464.

Adding to 120206564 its reverse (465602021), we get a palindrome (585808585).

The spelling of 120206564 in words is "one hundred twenty million, two hundred six thousand, five hundred sixty-four".

Divisors: 1 2 4 101 202 233 404 466 932 1277 2554 5108 23533 47066 94132 128977 257954 297541 515908 595082 1190164 30051641 60103282 120206564