Search a number
-
+
3052000 = 25537109
BaseRepresentation
bin1011101001000111100000
312202001120001
423221013200
51240131000
6145225344
734640650
oct13510740
95661501
103052000
1117a5016
121032254
1382b223
14596360
1540446a
hex2e91e0

3052000 has 96 divisors (see below), whose sum is σ = 8648640. Its totient is φ = 1036800.

The previous prime is 3051977. The next prime is 3052003. The reversal of 3052000 is 2503.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3052003) 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, 27946 + ... + 28054.

It is an arithmetic number, because the mean of its divisors is an integer number (90090).

Almost surely, 23052000 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 3052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4324320).

3052000 is an abundant number, since it is smaller than the sum of its proper divisors (5596640).

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

3052000 is a wasteful number, since it uses less digits than its factorization.

3052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 10.

The square root of 3052000 is about 1746.9974241538. The cubic root of 3052000 is about 145.0534879957.

Adding to 3052000 its reverse (2503), we get a palindrome (3054503).

The spelling of 3052000 in words is "three million, fifty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 109 112 125 140 160 175 200 218 224 250 280 350 400 436 500 545 560 700 763 800 872 875 1000 1090 1120 1400 1526 1744 1750 2000 2180 2725 2800 3052 3488 3500 3815 4000 4360 5450 5600 6104 7000 7630 8720 10900 12208 13625 14000 15260 17440 19075 21800 24416 27250 28000 30520 38150 43600 54500 61040 76300 87200 95375 109000 122080 152600 190750 218000 305200 381500 436000 610400 763000 1526000 3052000