Search a number
-
+
3969420 = 2235713727
BaseRepresentation
bin1111001001000110001100
321110200000120
433021012030
52004010140
6221024540
745511440
oct17110614
97420016
103969420
112271314
1213b5150
13a8c990
14754820
155361d0
hex3c918c

3969420 has 96 divisors (see below), whose sum is σ = 13698048. Its totient is φ = 836352.

The previous prime is 3969419. The next prime is 3969421. The reversal of 3969420 is 249693.

It is an interprime number because it is at equal distance from previous prime (3969419) and next prime (3969421).

It is not an unprimeable number, because it can be changed into a prime (3969421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5097 + ... + 5823.

It is an arithmetic number, because the mean of its divisors is an integer number (142688).

Almost surely, 23969420 is an apocalyptic number.

3969420 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 3969420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6849024).

3969420 is an abundant number, since it is smaller than the sum of its proper divisors (9728628).

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

3969420 is a wasteful number, since it uses less digits than its factorization.

3969420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 3969420 is about 1992.3403323730. The cubic root of 3969420 is about 158.3345472360.

The spelling of 3969420 in words is "three million, nine hundred sixty-nine thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 727 780 910 1092 1365 1454 1820 2181 2730 2908 3635 4362 5089 5460 7270 8724 9451 10178 10905 14540 15267 18902 20356 21810 25445 28353 30534 37804 43620 47255 50890 56706 61068 66157 76335 94510 101780 113412 132314 141765 152670 189020 198471 264628 283530 305340 330785 396942 567060 661570 793884 992355 1323140 1984710 3969420