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2119728 = 243134379
BaseRepresentation
bin1000000101100000110000
310222200201110
420011200300
51020312403
6113233320
724005652
oct10054060
93880643
102119728
111218646
12862840
13592aa0
143d26d2
152bd103
hex205830

2119728 has 80 divisors (see below), whose sum is σ = 6110720. Its totient is φ = 628992.

The previous prime is 2119717. The next prime is 2119739. The reversal of 2119728 is 8279112.

It is an interprime number because it is at equal distance from previous prime (2119717) and next prime (2119739).

It is a junction number, because it is equal to n+sod(n) for n = 2119695 and 2119704.

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, 26793 + ... + 26871.

It is an arithmetic number, because the mean of its divisors is an integer number (76384).

22119728 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 2119728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3055360).

2119728 is an abundant number, since it is smaller than the sum of its proper divisors (3990992).

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

2119728 is a wasteful number, since it uses less digits than its factorization.

2119728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 140 counting only the distinct ones).

The product of its digits is 2016, while the sum is 30.

The square root of 2119728 is about 1455.9285696764. The cubic root of 2119728 is about 128.4576715141.

The spelling of 2119728 in words is "two million, one hundred nineteen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 43 48 52 78 79 86 104 129 156 158 172 208 237 258 312 316 344 474 516 559 624 632 688 948 1027 1032 1118 1264 1677 1896 2054 2064 2236 3081 3354 3397 3792 4108 4472 6162 6708 6794 8216 8944 10191 12324 13416 13588 16432 20382 24648 26832 27176 40764 44161 49296 54352 81528 88322 132483 163056 176644 264966 353288 529932 706576 1059864 2119728