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128746632 = 23371993851
BaseRepresentation
bin1111010110010…
…00010010001000
322222021000011210
413223020102020
5230424343012
620435253120
73122220420
oct753102210
9288230153
10128746632
1166746283
123714a1a0
132089a151
1413155480
15b48223c
hex7ac8488

128746632 has 64 divisors (see below), whose sum is σ = 369792000. Its totient is φ = 36590400.

The previous prime is 128746621. The next prime is 128746649. The reversal of 128746632 is 236647821.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31507 + ... + 35357.

It is an arithmetic number, because the mean of its divisors is an integer number (5778000).

Almost surely, 2128746632 is an apocalyptic number.

128746632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128746632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184896000).

128746632 is an abundant number, since it is smaller than the sum of its proper divisors (241045368).

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

128746632 is a wasteful number, since it uses less digits than its factorization.

128746632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4066 (or 4062 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 128746632 is about 11346.6573051274. The cubic root of 128746632 is about 504.9464139462.

The spelling of 128746632 in words is "one hundred twenty-eight million, seven hundred forty-six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 199 398 597 796 1194 1393 1592 2388 2786 3851 4179 4776 5572 7702 8358 11144 11553 15404 16716 23106 26957 30808 33432 46212 53914 80871 92424 107828 161742 215656 323484 646968 766349 1532698 2299047 3065396 4598094 5364443 6130792 9196188 10728886 16093329 18392376 21457772 32186658 42915544 64373316 128746632