Search a number
-
+
1143215936 = 2637539109
BaseRepresentation
bin100010000100100…
…0001011101000000
32221200011101102222
41010021001131000
54320130402221
6305235030212
740221114032
oct10411013500
92850141388
101143215936
11537352065
1227aa3b368
13152b02245
14abb8bc52
156a5709ab
hex44241740

1143215936 has 56 divisors (see below), whose sum is σ = 2374102440. Its totient is φ = 545605632.

The previous prime is 1143215933. The next prime is 1143215951. The reversal of 1143215936 is 6395123411.

It can be written as a sum of positive squares in 4 ways, for example, as 275560000 + 867655936 = 16600^2 + 29456^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1143215896 and 1143215905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1143215933) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120950 + ... + 130058.

Almost surely, 21143215936 is an apocalyptic number.

1143215936 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 1143215936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187051220).

1143215936 is an abundant number, since it is smaller than the sum of its proper divisors (1230886504).

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

1143215936 is an equidigital number, since it uses as much as digits as its factorization.

1143215936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9211 (or 9201 counting only the distinct ones).

The product of its digits is 19440, while the sum is 35.

The square root of 1143215936 is about 33811.4763948574. The cubic root of 1143215936 is about 1045.6253168515.

The spelling of 1143215936 in words is "one billion, one hundred forty-three million, two hundred fifteen thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 32 37 53 64 74 106 148 212 296 424 592 848 1184 1696 1961 2368 3392 3922 7844 9109 15688 18218 31376 36436 62752 72872 125504 145744 291488 337033 482777 582976 674066 965554 1348132 1931108 2696264 3862216 5392528 7724432 10785056 15448864 17862749 21570112 30897728 35725498 71450996 142901992 285803984 571607968 1143215936