Search a number
-
+
3835000 = 23541359
BaseRepresentation
bin1110101000010001111000
321012211122001
432220101320
51440210000
6214110344
744411521
oct16502170
97184561
103835000
11218a324
12134b3b4
13a43740
1471b848
1550b46a
hex3a8478

3835000 has 80 divisors (see below), whose sum is σ = 9840600. Its totient is φ = 1392000.

The previous prime is 3834991. The next prime is 3835001. The reversal of 3835000 is 5383.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3835001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 64971 + ... + 65029.

Almost surely, 23835000 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 3835000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4920300).

3835000 is an abundant number, since it is smaller than the sum of its proper divisors (6005600).

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

3835000 is a wasteful number, since it uses less digits than its factorization.

3835000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 3835000 is about 1958.3156027566. The cubic root of 3835000 is about 156.5267096740.

The spelling of 3835000 in words is "three million, eight hundred thirty-five thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 59 65 100 104 118 125 130 200 236 250 260 295 325 472 500 520 590 625 650 767 1000 1180 1250 1300 1475 1534 1625 2360 2500 2600 2950 3068 3250 3835 5000 5900 6136 6500 7375 7670 8125 11800 13000 14750 15340 16250 19175 29500 30680 32500 36875 38350 59000 65000 73750 76700 95875 147500 153400 191750 295000 383500 479375 767000 958750 1917500 3835000