Search a number
-
+
1242412000 = 25532631181
BaseRepresentation
bin100101000001101…
…1011001111100000
310012120211001212021
41022003123033200
510021024141000
6323141111224
742534220264
oct11203331740
93176731767
101242412000
11588344585
122a80b8514
1316a523b3b
14bb0100a4
157411711a
hex4a0db3e0

1242412000 has 96 divisors (see below), whose sum is σ = 3066807744. Its totient is φ = 494656000.

The previous prime is 1242411983. The next prime is 1242412001. The reversal of 1242412000 is 2142421.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242412001) 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, 1051410 + ... + 1052590.

It is an arithmetic number, because the mean of its divisors is an integer number (31945914).

Almost surely, 21242412000 is an apocalyptic number.

1242412000 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 1242412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533403872).

1242412000 is an abundant number, since it is smaller than the sum of its proper divisors (1824395744).

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

1242412000 is a wasteful number, since it uses less digits than its factorization.

1242412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1242412000 is about 35247.8651835824. The cubic root of 1242412000 is about 1075.0332061133.

Adding to 1242412000 its reverse (2142421), we get a palindrome (1244554421).

The spelling of 1242412000 in words is "one billion, two hundred forty-two million, four hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 263 400 500 526 800 1000 1052 1181 1315 2000 2104 2362 2630 4000 4208 4724 5260 5905 6575 8416 9448 10520 11810 13150 18896 21040 23620 26300 29525 32875 37792 42080 47240 52600 59050 65750 94480 105200 118100 131500 147625 188960 210400 236200 263000 295250 310603 472400 526000 590500 621206 944800 1052000 1181000 1242412 1553015 2362000 2484824 3106030 4724000 4969648 6212060 7765075 9939296 12424120 15530150 24848240 31060300 38825375 49696480 62120600 77650750 124241200 155301500 248482400 310603000 621206000 1242412000