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120452553 = 3213279193
BaseRepresentation
bin1110010110111…
…11010111001001
322101122121211200
413023133113021
5221313440203
615541414413
72661554424
oct713372711
9271577750
10120452553
1161aa0871
123440a409
131bc54c00
1411dd69bb
15a8949a3
hex72df5c9

120452553 has 18 divisors (see below), whose sum is σ = 188402526. Its totient is φ = 74123712.

The previous prime is 120452539. The next prime is 120452557. The reversal of 120452553 is 355254021.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1140624 + 119311929 = 1068^2 + 10923^2 .

It is not a de Polignac number, because 120452553 - 24 = 120452537 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120452557) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 38076 + ... + 41117.

It is an arithmetic number, because the mean of its divisors is an integer number (10466807).

Almost surely, 2120452553 is an apocalyptic number.

120452553 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120452553 is a deficient number, since it is larger than the sum of its proper divisors (67949973).

120452553 is a wasteful number, since it uses less digits than its factorization.

120452553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79225 (or 79209 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 120452553 is about 10975.0878356394. The cubic root of 120452553 is about 493.8616879636.

The spelling of 120452553 in words is "one hundred twenty million, four hundred fifty-two thousand, five hundred fifty-three".

Divisors: 1 3 9 13 39 117 169 507 1521 79193 237579 712737 1029509 3088527 9265581 13383617 40150851 120452553