Search a number
-
+
1242009296 = 241131233977
BaseRepresentation
bin100101000000111…
…1000111011010000
310012120001121110022
41022001320323100
510020423244141
6323124323012
742530622233
oct11201707320
93176047408
101242009296
11588099a70
122a7b43468
1316a412758
14bad4741a
1574087b4b
hex4a078ed0

1242009296 has 80 divisors (see below), whose sum is σ = 2724254208. Its totient is φ = 543436800.

The previous prime is 1242009283. The next prime is 1242009311. The reversal of 1242009296 is 6929002421.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1270760 + ... + 1271736.

Almost surely, 21242009296 is an apocalyptic number.

1242009296 is a gapful number since it is divisible by the number (16) 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 1242009296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362127104).

1242009296 is an abundant number, since it is smaller than the sum of its proper divisors (1482244912).

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

1242009296 is a wasteful number, since it uses less digits than its factorization.

1242009296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 1242009296 is about 35242.1522611772. The cubic root of 1242009296 is about 1074.9170431027.

The spelling of 1242009296 in words is "one billion, two hundred forty-two million, nine thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 233 248 341 466 496 682 932 977 1364 1864 1954 2563 2728 3728 3908 5126 5456 7223 7816 10252 10747 14446 15632 20504 21494 28892 30287 41008 42988 57784 60574 79453 85976 115568 121148 158906 171952 227641 242296 317812 333157 455282 484592 635624 666314 910564 1271248 1332628 1821128 2504051 2665256 3642256 5008102 5330512 7056871 10016204 14113742 20032408 28227484 40064816 56454968 77625581 112909936 155251162 310502324 621004648 1242009296