Search a number
-
+
3960420 = 2235149443
BaseRepresentation
bin1111000110111001100100
321110012200020
433012321210
52003213140
6220515140
745443262
oct17067144
97405606
103960420
112265582
1213abab0
13a88859
14751432
155336d0
hex3c6e64

3960420 has 48 divisors (see below), whose sum is σ = 11188800. Its totient is φ = 1046656.

The previous prime is 3960419. The next prime is 3960421. The reversal of 3960420 is 240693.

It is an interprime number because it is at equal distance from previous prime (3960419) and next prime (3960421).

It is not an unprimeable number, because it can be changed into a prime (3960421) 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, 8719 + ... + 9161.

It is an arithmetic number, because the mean of its divisors is an integer number (233100).

Almost surely, 23960420 is an apocalyptic number.

3960420 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 3960420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5594400).

3960420 is an abundant number, since it is smaller than the sum of its proper divisors (7228380).

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

3960420 is a wasteful number, since it uses less digits than its factorization.

3960420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 3960420 is about 1990.0804003859. The cubic root of 3960420 is about 158.2147909260.

The spelling of 3960420 in words is "three million, nine hundred sixty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 149 298 443 447 596 745 886 894 1329 1490 1772 1788 2215 2235 2658 2980 4430 4470 5316 6645 8860 8940 13290 26580 66007 132014 198021 264028 330035 396042 660070 792084 990105 1320140 1980210 3960420