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1141020576 = 25323961877
BaseRepresentation
bin100010000000010…
…1001011110100000
32221112000211222100
41010000221132200
54314100124301
6305120010400
740163341413
oct10400513640
92845024870
101141020576
11536092713
1227a160a00
13152513c07
14ab779b7a
156a28a286
hex440297a0

1141020576 has 36 divisors (see below), whose sum is σ = 3244778082. Its totient is φ = 380340096.

The previous prime is 1141020571. The next prime is 1141020581. The reversal of 1141020576 is 6750201411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1141020571) and next prime (1141020581).

It can be written as a sum of positive squares in only one way, i.e., 746600976 + 394419600 = 27324^2 + 19860^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (1141020571) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1980651 + ... + 1981226.

Almost surely, 21141020576 is an apocalyptic number.

1141020576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1141020576 is an abundant number, since it is smaller than the sum of its proper divisors (2103757506).

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

1141020576 is a wasteful number, since it uses less digits than its factorization.

1141020576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3961893 (or 3961882 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1141020576 is about 33778.9960774443. The cubic root of 1141020576 is about 1044.9555702515.

Adding to 1141020576 its reverse (6750201411), we get a palindrome (7891221987).

The spelling of 1141020576 in words is "one billion, one hundred forty-one million, twenty thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3961877 7923754 11885631 15847508 23771262 31695016 35656893 47542524 63390032 71313786 95085048 126780064 142627572 190170096 285255144 380340192 570510288 1141020576