Search a number
-
+
128923740 = 22325111923149
BaseRepresentation
bin1111010111100…
…11100001011100
322222121000010100
413223303201130
5231001024430
620443141100
73123555651
oct753634134
9288530110
10128923740
1166857350
1237214790
132092c94a
141319dc28
15b4b9960
hex7af385c

128923740 has 288 divisors, whose sum is σ = 471744000. Its totient is φ = 28131840.

The previous prime is 128923703. The next prime is 128923789. The reversal of 128923740 is 47329821.

128923740 is a `hidden beast` number, since 1 + 289 + 2 + 374 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 128923695 and 128923704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 865186 + ... + 865334.

It is an arithmetic number, because the mean of its divisors is an integer number (1638000).

Almost surely, 2128923740 is an apocalyptic number.

128923740 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 128923740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235872000).

128923740 is an abundant number, since it is smaller than the sum of its proper divisors (342820260).

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

128923740 is a wasteful number, since it uses less digits than its factorization.

128923740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 128923740 is about 11354.4590359911. The cubic root of 128923740 is about 505.1778480215.

The spelling of 128923740 in words is "one hundred twenty-eight million, nine hundred twenty-three thousand, seven hundred forty".