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3528140 = 2257112979
BaseRepresentation
bin1101011101010111001100
320122020200212
431131113030
51400400030
6203341552
741663060
oct15352714
96566625
103528140
111a9a820
1212218b8
13966b75
1467baa0
1549a595
hex35d5cc

3528140 has 96 divisors (see below), whose sum is σ = 9676800. Its totient is φ = 1048320.

The previous prime is 3528137. The next prime is 3528143. The reversal of 3528140 is 418253.

It is an interprime number because it is at equal distance from previous prime (3528137) and next prime (3528143).

It is not an unprimeable number, because it can be changed into a prime (3528143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44621 + ... + 44699.

It is an arithmetic number, because the mean of its divisors is an integer number (100800).

Almost surely, 23528140 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 3528140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4838400).

3528140 is an abundant number, since it is smaller than the sum of its proper divisors (6148660).

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

3528140 is a wasteful number, since it uses less digits than its factorization.

3528140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 3528140 is about 1878.3343685297. The cubic root of 3528140 is about 152.2352658611.

The spelling of 3528140 in words is "three million, five hundred twenty-eight thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 29 35 44 55 58 70 77 79 110 116 140 145 154 158 203 220 290 308 316 319 385 395 406 553 580 638 770 790 812 869 1015 1106 1276 1540 1580 1595 1738 2030 2212 2233 2291 2765 3190 3476 4060 4345 4466 4582 5530 6083 6380 8690 8932 9164 11060 11165 11455 12166 16037 17380 22330 22910 24332 25201 30415 32074 44660 45820 50402 60830 64148 80185 100804 121660 126005 160370 176407 252010 320740 352814 504020 705628 882035 1764070 3528140