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128292132 = 22317709887
BaseRepresentation
bin1111010010110…
…01010100100100
322221101220201110
413221121110210
5230320322012
620421425020
73115315353
oct751312444
9287356643
10128292132
1166465861
1236b6b170
132076b307
141307799a
15b3e273c
hex7a59524

128292132 has 48 divisors (see below), whose sum is σ = 317761920. Its totient is φ = 40146432.

The previous prime is 128292121. The next prime is 128292133. The reversal of 128292132 is 231292821.

It is a super-2 number, since 2×1282921322 = 32917742266210848, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 128292132.

It is not an unprimeable number, because it can be changed into a prime (128292133) 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 15 ways as a sum of consecutive naturals, for example, 144193 + ... + 145079.

It is an arithmetic number, because the mean of its divisors is an integer number (6620040).

Almost surely, 2128292132 is an apocalyptic number.

128292132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

128292132 is an abundant number, since it is smaller than the sum of its proper divisors (189469788).

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

128292132 is a wasteful number, since it uses less digits than its factorization.

128292132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 1618 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 128292132 is about 11326.6116733999. The cubic root of 128292132 is about 504.3515278774.

The spelling of 128292132 in words is "one hundred twenty-eight million, two hundred ninety-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 709 887 1418 1774 2127 2661 2836 3548 4254 5322 8508 10644 12053 15079 24106 30158 36159 45237 48212 60316 72318 90474 144636 180948 628883 1257766 1886649 2515532 3773298 7546596 10691011 21382022 32073033 42764044 64146066 128292132