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2572128 = 253313229
BaseRepresentation
bin1001110011111101100000
311211200022000
421303331200
51124302003
6131044000
730601626
oct11637540
94750260
102572128
1114a7529
12a40600
136c0990
144ad516
1535c1a3
hex273f60

2572128 has 96 divisors (see below), whose sum is σ = 8114400. Its totient is φ = 787968.

The previous prime is 2572127. The next prime is 2572133. The reversal of 2572128 is 8212752.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2572121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11118 + ... + 11346.

It is an arithmetic number, because the mean of its divisors is an integer number (84525).

22572128 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 2572128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4057200).

2572128 is an abundant number, since it is smaller than the sum of its proper divisors (5542272).

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

2572128 is a wasteful number, since it uses less digits than its factorization.

2572128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 247 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 2572128 is about 1603.7855218202. The cubic root of 2572128 is about 137.0137624479.

The spelling of 2572128 in words is "two million, five hundred seventy-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 229 234 288 312 351 416 432 458 468 624 687 702 864 916 936 1248 1374 1404 1832 1872 2061 2748 2808 2977 3664 3744 4122 5496 5616 5954 6183 7328 8244 8931 10992 11232 11908 12366 16488 17862 21984 23816 24732 26793 32976 35724 47632 49464 53586 65952 71448 80379 95264 98928 107172 142896 160758 197856 214344 285792 321516 428688 643032 857376 1286064 2572128