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3820040 = 235721949
BaseRepresentation
bin1110100100101000001000
321012002002222
432210220020
51434220130
6213513212
744320100
oct16445010
97162088
103820040
11217a064
121342808
13a399a3
14716200
15506ce5
hex3a4a08

3820040 has 48 divisors (see below), whose sum is σ = 10003500. Its totient is φ = 1309056.

The previous prime is 3820031. The next prime is 3820043. The reversal of 3820040 is 400283.

3820040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3786916 + 33124 = 1946^2 + 182^2 .

It is not an unprimeable number, because it can be changed into a prime (3820043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 986 + ... + 2934.

Almost surely, 23820040 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 3820040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5001750).

3820040 is an abundant number, since it is smaller than the sum of its proper divisors (6183460).

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

3820040 is a wasteful number, since it uses less digits than its factorization.

3820040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1974 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 3820040 is about 1954.4922614326. The cubic root of 3820040 is about 156.3229121045.

The spelling of 3820040 in words is "three million, eight hundred twenty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1949 1960 3898 7796 9745 13643 15592 19490 27286 38980 54572 68215 77960 95501 109144 136430 191002 272860 382004 477505 545720 764008 955010 1910020 3820040