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3795220 = 22511131327
BaseRepresentation
bin1110011110100100010100
321010211001201
432132210110
51432421340
6213202244
744154532
oct16364424
97124051
103795220
112162450
121330384
13a2b5c0
1470b152
154ee79a
hex39e914

3795220 has 48 divisors (see below), whose sum is σ = 9370368. Its totient is φ = 1272960.

The previous prime is 3795157. The next prime is 3795221. The reversal of 3795220 is 225973.

3795220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3795221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2197 + ... + 3523.

It is an arithmetic number, because the mean of its divisors is an integer number (195216).

Almost surely, 23795220 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 3795220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4685184).

3795220 is an abundant number, since it is smaller than the sum of its proper divisors (5575148).

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

3795220 is a wasteful number, since it uses less digits than its factorization.

3795220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 3795220 is about 1948.1324390297. The cubic root of 3795220 is about 155.9836165130.

The spelling of 3795220 in words is "three million, seven hundred ninety-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1327 1430 2654 2860 5308 6635 13270 14597 17251 26540 29194 34502 58388 69004 72985 86255 145970 172510 189761 291940 345020 379522 759044 948805 1897610 3795220