Search a number
-
+
1142263540 = 2251110151407
BaseRepresentation
bin100010000010101…
…1000111011110100
32221121101000000001
41010011120323310
54314404413130
6305202401044
740210036255
oct10405307364
92847330001
101142263540
11536861560
1227a660184
1315285a8b2
14ab9c0b2c
156a4336ca
hex44158ef4

1142263540 has 48 divisors (see below), whose sum is σ = 2642782464. Its totient is φ = 411248000.

The previous prime is 1142263537. The next prime is 1142263547. The reversal of 1142263540 is 453622411.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1142263499 and 1142263508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142263547) 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, 3484 + ... + 47923.

It is an arithmetic number, because the mean of its divisors is an integer number (55057968).

Almost surely, 21142263540 is an apocalyptic number.

1142263540 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 1142263540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321391232).

1142263540 is an abundant number, since it is smaller than the sum of its proper divisors (1500518924).

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

1142263540 is a wasteful number, since it uses less digits than its factorization.

1142263540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51528 (or 51526 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 1142263540 is about 33797.3895441645. The cubic root of 1142263540 is about 1045.3348712735.

Adding to 1142263540 its reverse (453622411), we get a palindrome (1595885951).

The spelling of 1142263540 in words is "one billion, one hundred forty-two million, two hundred sixty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 5555 11110 22220 51407 102814 205628 257035 514070 565477 1028140 1130954 2261908 2827385 5192107 5654770 10384214 11309540 20768428 25960535 51921070 57113177 103842140 114226354 228452708 285565885 571131770 1142263540