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41136128 = 21211283
BaseRepresentation
bin1001110011101…
…1000000000000
32212101221011022
42130323000000
541012324003
64025405012
71006436255
oct234730000
985357138
1041136128
1121247200
1211939768
1386a3a07
14566b42c
153928738
hex273b000

41136128 has 78 divisors (see below), whose sum is σ = 91509852. Its totient is φ = 18472960.

The previous prime is 41136127. The next prime is 41136131. The reversal of 41136128 is 82163114.

Its product of digits (1152) is a multiple of the sum of its prime divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 41136097 and 41136106.

It is not an unprimeable number, because it can be changed into a prime (41136127) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 495575 + ... + 495657.

Almost surely, 241136128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41136128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45754926).

41136128 is an abundant number, since it is smaller than the sum of its proper divisors (50373724).

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

41136128 is an equidigital number, since it uses as much as digits as its factorization.

41136128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 96 counting only the distinct ones).

The product of its digits is 1152, while the sum is 26.

The square root of 41136128 is about 6413.7452397176. The cubic root of 41136128 is about 345.2029275943.

The spelling of 41136128 in words is "forty-one million, one hundred thirty-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 83 88 121 128 166 176 242 256 332 352 484 512 664 704 913 968 1024 1328 1408 1826 1936 2048 2656 2816 3652 3872 4096 5312 5632 7304 7744 10043 10624 11264 14608 15488 20086 21248 22528 29216 30976 40172 42496 45056 58432 61952 80344 84992 116864 123904 160688 169984 233728 247808 321376 339968 467456 495616 642752 934912 1285504 1869824 2571008 3739648 5142016 10284032 20568064 41136128