Search a number
-
+
3983730 = 2351929241
BaseRepresentation
bin1111001100100101110010
321111101122120
433030211302
52004434410
6221215110
745601242
oct17144562
97441576
103983730
112281043
121401496
13a9634a
14759b22
1553a570
hex3cc972

3983730 has 64 divisors (see below), whose sum is σ = 10454400. Its totient is φ = 967680.

The previous prime is 3983719. The next prime is 3983747. The reversal of 3983730 is 373893.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3983691 and 3983700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16410 + ... + 16650.

It is an arithmetic number, because the mean of its divisors is an integer number (163350).

Almost surely, 23983730 is an apocalyptic number.

3983730 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3983730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5227200).

3983730 is an abundant number, since it is smaller than the sum of its proper divisors (6470670).

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

3983730 is a wasteful number, since it uses less digits than its factorization.

3983730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299.

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 3983730 is about 1995.9283554276. The cubic root of 3983730 is about 158.5245876003.

The spelling of 3983730 in words is "three million, nine hundred eighty-three thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 29 30 38 57 58 87 95 114 145 174 190 241 285 290 435 482 551 570 723 870 1102 1205 1446 1653 2410 2755 3306 3615 4579 5510 6989 7230 8265 9158 13737 13978 16530 20967 22895 27474 34945 41934 45790 68685 69890 104835 132791 137370 209670 265582 398373 663955 796746 1327910 1991865 3983730