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128924120 = 235131913049
BaseRepresentation
bin1111010111100…
…11100111011000
322222121000122102
413223303213120
5231001032440
620443142532
73123560033
oct753634730
9288530572
10128924120
1166857666
1237214a48
132092cb80
14131a001a
15b4b9b15
hex7af39d8

128924120 has 64 divisors (see below), whose sum is σ = 328860000. Its totient is φ = 45093888.

The previous prime is 128924119. The next prime is 128924123. The reversal of 128924120 is 21429821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128924123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3356 + ... + 16404.

Almost surely, 2128924120 is an apocalyptic number.

128924120 is a gapful number since it is divisible by the number (10) 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 128924120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164430000).

128924120 is an abundant number, since it is smaller than the sum of its proper divisors (199935880).

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

128924120 is a wasteful number, since it uses less digits than its factorization.

128924120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13092 (or 13088 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 128924120 is about 11354.4757694928. The cubic root of 128924120 is about 505.1783443547.

The spelling of 128924120 in words is "one hundred twenty-eight million, nine hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 130 152 190 247 260 380 494 520 760 988 1235 1976 2470 4940 9880 13049 26098 52196 65245 104392 130490 169637 247931 260980 339274 495862 521960 678548 848185 991724 1239655 1357096 1696370 1983448 2479310 3223103 3392740 4958620 6446206 6785480 9917240 12892412 16115515 25784824 32231030 64462060 128924120