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128317752 = 233212714033
BaseRepresentation
bin1111010010111…
…11100100111000
322221110012212100
413221133210320
5230322132002
620422143400
73115453143
oct751374470
9287405770
10128317752
1166483032
1236b81b60
1320779b84
141308305a
15b3ea11c
hex7a5f938

128317752 has 48 divisors (see below), whose sum is σ = 350288640. Its totient is φ = 42432768.

The previous prime is 128317747. The next prime is 128317769. The reversal of 128317752 is 257713821.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2128 + ... + 16160.

It is an arithmetic number, because the mean of its divisors is an integer number (7297680).

Almost surely, 2128317752 is an apocalyptic number.

128317752 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 128317752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175144320).

128317752 is an abundant number, since it is smaller than the sum of its proper divisors (221970888).

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

128317752 is a wasteful number, since it uses less digits than its factorization.

128317752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14172 (or 14165 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 128317752 is about 11327.7425818210. The cubic root of 128317752 is about 504.3850987231.

The spelling of 128317752 in words is "one hundred twenty-eight million, three hundred seventeen thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 127 254 381 508 762 1016 1143 1524 2286 3048 4572 9144 14033 28066 42099 56132 84198 112264 126297 168396 252594 336792 505188 1010376 1782191 3564382 5346573 7128764 10693146 14257528 16039719 21386292 32079438 42772584 64158876 128317752