Search a number
-
+
1242600 = 2335219109
BaseRepresentation
bin100101111010111101000
32100010112020
410233113220
5304230400
642344440
713363512
oct4572750
92303466
101242600
11779647
124bb120
13346788
14244bb2
151982a0
hex12f5e8

1242600 has 96 divisors (see below), whose sum is σ = 4092000. Its totient is φ = 311040.

The previous prime is 1242569. The next prime is 1242601. The reversal of 1242600 is 62421.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 1242600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11346 + ... + 11454.

It is an arithmetic number, because the mean of its divisors is an integer number (42625).

21242600 is an apocalyptic number.

1242600 is a gapful number since it is divisible by the number (10) 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 1242600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2046000).

1242600 is an abundant number, since it is smaller than the sum of its proper divisors (2849400).

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

1242600 is a wasteful number, since it uses less digits than its factorization.

1242600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1242600 is about 1114.7196957083. The cubic root of 1242600 is about 107.5087427539.

The spelling of 1242600 in words is "one million, two hundred forty-two thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 109 114 120 150 152 190 200 218 228 285 300 327 380 436 456 475 545 570 600 654 760 872 950 1090 1140 1308 1425 1635 1900 2071 2180 2280 2616 2725 2850 3270 3800 4142 4360 5450 5700 6213 6540 8175 8284 10355 10900 11400 12426 13080 16350 16568 20710 21800 24852 31065 32700 41420 49704 51775 62130 65400 82840 103550 124260 155325 207100 248520 310650 414200 621300 1242600