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127429272 = 23321769851
BaseRepresentation
bin1111001100001…
…10101010011000
322212210002002200
413212012222120
5230110214042
620351130200
73105062625
oct746065230
9285702080
10127429272
1165a26553
1236813960
1320528649
1412cd134c
15b2c1c4c
hex7986a98

127429272 has 24 divisors (see below), whose sum is σ = 345121140. Its totient is φ = 42476400.

The previous prime is 127429261. The next prime is 127429273. The reversal of 127429272 is 272924721.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127429273) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 884854 + ... + 884997.

Almost surely, 2127429272 is an apocalyptic number.

127429272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

127429272 is an abundant number, since it is smaller than the sum of its proper divisors (217691868).

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

127429272 is a wasteful number, since it uses less digits than its factorization.

127429272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769863 (or 1769856 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 127429272 is about 11288.4574676968. The cubic root of 127429272 is about 503.2182703618.

The spelling of 127429272 in words is "one hundred twenty-seven million, four hundred twenty-nine thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1769851 3539702 5309553 7079404 10619106 14158808 15928659 21238212 31857318 42476424 63714636 127429272