Search a number
-
+
3525480 = 2332571399
BaseRepresentation
bin1101011100101101101000
320122010001100
431130231220
51400303410
6203321400
741652240
oct15345550
96563040
103525480
111a98822
121220260
139658aa
1467ab20
154998c0
hex35cb68

3525480 has 96 divisors (see below), whose sum is σ = 13104000. Its totient is φ = 805248.

The previous prime is 3525479. The next prime is 3525491. The reversal of 3525480 is 845253.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1821 + ... + 3219.

It is an arithmetic number, because the mean of its divisors is an integer number (136500).

Almost surely, 23525480 is an apocalyptic number.

3525480 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 3525480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6552000).

3525480 is an abundant number, since it is smaller than the sum of its proper divisors (9578520).

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

3525480 is a wasteful number, since it uses less digits than its factorization.

3525480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 3525480 is about 1877.6261608744. The cubic root of 3525480 is about 152.1969975745.

It can be divided in two parts, 3525 and 480, that added together give a triangular number (4005 = T89).

The spelling of 3525480 in words is "three million, five hundred twenty-five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 1399 2520 2798 4197 5596 6995 8394 9793 11192 12591 13990 16788 19586 20985 25182 27980 29379 33576 39172 41970 48965 50364 55960 58758 62955 78344 83940 88137 97930 100728 117516 125910 146895 167880 176274 195860 235032 251820 293790 352548 391720 440685 503640 587580 705096 881370 1175160 1762740 3525480