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3506020 = 225779317
BaseRepresentation
bin1101010111111101100100
320121010100121
431113331210
51344143040
6203051324
741541430
oct15277544
96533317
103506020
111a85141
121210b44
13959a8b
146739c0
15493c4a
hex357f64

3506020 has 48 divisors (see below), whose sum is σ = 8547840. Its totient is φ = 1183104.

The previous prime is 3505991. The next prime is 3506023. The reversal of 3506020 is 206053.

It is a junction number, because it is equal to n+sod(n) for n = 3505985 and 3506003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3506023) 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, 10902 + ... + 11218.

It is an arithmetic number, because the mean of its divisors is an integer number (178080).

Almost surely, 23506020 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 3506020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4273920).

3506020 is an abundant number, since it is smaller than the sum of its proper divisors (5041820).

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

3506020 is a wasteful number, since it uses less digits than its factorization.

3506020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 3506020 is about 1872.4369148252. The cubic root of 3506020 is about 151.9164476173.

The spelling of 3506020 in words is "three million, five hundred six thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 79 140 158 316 317 395 553 634 790 1106 1268 1580 1585 2212 2219 2765 3170 4438 5530 6340 8876 11060 11095 22190 25043 44380 50086 100172 125215 175301 250430 350602 500860 701204 876505 1753010 3506020