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2128368 = 2431129139
BaseRepresentation
bin1000000111100111110000
311000010120110
420013213300
51021101433
6113341320
724043104
oct10074760
94003513
102128368
111224090
12867840
135969b8
143d5904
152c0963
hex2079f0

2128368 has 80 divisors (see below), whose sum is σ = 6249600. Its totient is φ = 618240.

The previous prime is 2128333. The next prime is 2128381. The reversal of 2128368 is 8638212.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15243 + ... + 15381.

It is an arithmetic number, because the mean of its divisors is an integer number (78120).

22128368 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 2128368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3124800).

2128368 is an abundant number, since it is smaller than the sum of its proper divisors (4121232).

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

2128368 is a wasteful number, since it uses less digits than its factorization.

2128368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 184 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 2128368 is about 1458.8927308065. The cubic root of 2128368 is about 128.6319658481.

The spelling of 2128368 in words is "two million, one hundred twenty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 33 44 48 58 66 87 88 116 132 139 174 176 232 264 278 319 348 417 464 528 556 638 696 834 957 1112 1276 1392 1529 1668 1914 2224 2552 3058 3336 3828 4031 4587 5104 6116 6672 7656 8062 9174 12093 12232 15312 16124 18348 24186 24464 32248 36696 44341 48372 64496 73392 88682 96744 133023 177364 193488 266046 354728 532092 709456 1064184 2128368