Search a number
-
+
1142410240 = 2105435189
BaseRepresentation
bin100010000010111…
…1100110000000000
32221121122110020101
41010011330300000
54314424111430
6305205452144
740211220046
oct10405746000
92847573211
101142410240
115369517a4
1227a711054
131528ac5ba
14aba1c396
156a461dca
hex4417cc00

1142410240 has 88 divisors (see below), whose sum is σ = 2804717520. Its totient is φ = 446251008.

The previous prime is 1142410237. The next prime is 1142410271. The reversal of 1142410240 is 420142411.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217566 + ... + 222754.

It is an arithmetic number, because the mean of its divisors is an integer number (31871790).

Almost surely, 21142410240 is an apocalyptic number.

1142410240 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 1142410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402358760).

1142410240 is an abundant number, since it is smaller than the sum of its proper divisors (1662307280).

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

1142410240 is an equidigital number, since it uses as much as digits as its factorization.

1142410240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5257 (or 5239 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 1142410240 is about 33799.5597604466. The cubic root of 1142410240 is about 1045.3796198672.

Adding to 1142410240 its reverse (420142411), we get a palindrome (1562552651).

The spelling of 1142410240 in words is "one billion, one hundred forty-two million, four hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 128 160 172 215 256 320 344 430 512 640 688 860 1024 1280 1376 1720 2560 2752 3440 5120 5189 5504 6880 10378 11008 13760 20756 22016 25945 27520 41512 44032 51890 55040 83024 103780 110080 166048 207560 220160 223127 332096 415120 446254 664192 830240 892508 1115635 1328384 1660480 1785016 2231270 2656768 3320960 3570032 4462540 5313536 6641920 7140064 8925080 13283840 14280128 17850160 26567680 28560256 35700320 57120512 71400640 114241024 142801280 228482048 285602560 571205120 1142410240