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2113728 = 263101109
BaseRepresentation
bin1000000100000011000000
310222101111020
420010003000
51020114403
6113145440
723652321
oct10040300
93871436
102113728
111214091
1285b280
13590136
143d0448
152bb453
hex2040c0

2113728 has 56 divisors (see below), whose sum is σ = 5699760. Its totient is φ = 691200.

The previous prime is 2113703. The next prime is 2113733. The reversal of 2113728 is 8273112.

2113728 = T152 + T153 + ... + T252.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2113698 and 2113707.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19338 + ... + 19446.

22113728 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 2113728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2849880).

2113728 is an abundant number, since it is smaller than the sum of its proper divisors (3586032).

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

2113728 is a wasteful number, since it uses less digits than its factorization.

2113728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 215 counting only the distinct ones).

The product of its digits is 672, while the sum is 24.

The square root of 2113728 is about 1453.8665688432. The cubic root of 2113728 is about 128.3363549447.

The spelling of 2113728 in words is "two million, one hundred thirteen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 109 192 202 218 303 327 404 436 606 654 808 872 1212 1308 1616 1744 2424 2616 3232 3488 4848 5232 6464 6976 9696 10464 11009 19392 20928 22018 33027 44036 66054 88072 132108 176144 264216 352288 528432 704576 1056864 2113728