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3528420 = 2235731271
BaseRepresentation
bin1101011101011011100100
320122021002020
431131123210
51400402140
6203343140
741663640
oct15353344
96567066
103528420
111a9aa55
121221ab0
1396702c
1467bc20
1549a6d0
hex35d6e4

3528420 has 96 divisors (see below), whose sum is σ = 11698176. Its totient is φ = 777600.

The previous prime is 3528409. The next prime is 3528463. The reversal of 3528420 is 248253.

It is a congruent number.

It is an unprimeable number.

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, 12885 + ... + 13155.

It is an arithmetic number, because the mean of its divisors is an integer number (121856).

Almost surely, 23528420 is an apocalyptic number.

3528420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3528420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5849088).

3528420 is an abundant number, since it is smaller than the sum of its proper divisors (8169756).

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

3528420 is a wasteful number, since it uses less digits than its factorization.

3528420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 3528420 is about 1878.4089011714. The cubic root of 3528420 is about 152.2392929828.

The spelling of 3528420 in words is "three million, five hundred twenty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 60 62 70 84 93 105 124 140 155 186 210 217 271 310 372 420 434 465 542 620 651 813 868 930 1084 1085 1302 1355 1626 1860 1897 2170 2604 2710 3252 3255 3794 4065 4340 5420 5691 6510 7588 8130 8401 9485 11382 13020 16260 16802 18970 22764 25203 28455 33604 37940 42005 50406 56910 58807 84010 100812 113820 117614 126015 168020 176421 235228 252030 294035 352842 504060 588070 705684 882105 1176140 1764210 3528420