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1144232120 = 235298571151
BaseRepresentation
bin100010000110011…
…1001100010111000
32221202002000101102
41010030321202320
54320410411440
6305312510532
740232545463
oct10414714270
92852060342
101144232120
11537986589
1227b24b448
13153099935
14abd742da
156a6c1b15
hex443398b8

1144232120 has 64 divisors (see below), whose sum is σ = 2668723200. Its totient is φ = 441011200.

The previous prime is 1144232099. The next prime is 1144232123. The reversal of 1144232120 is 212324411.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1144232092 and 1144232101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144232123) by changing a digit.

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, 993545 + ... + 994695.

It is an arithmetic number, because the mean of its divisors is an integer number (41698800).

Almost surely, 21144232120 is an apocalyptic number.

1144232120 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 1144232120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334361600).

1144232120 is an abundant number, since it is smaller than the sum of its proper divisors (1524491080).

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

1144232120 is a wasteful number, since it uses less digits than its factorization.

1144232120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1144232120 is about 33826.5002623683. The cubic root of 1144232120 is about 1045.9350375882.

Adding to 1144232120 its reverse (212324411), we get a palindrome (1356556531).

The spelling of 1144232120 in words is "one billion, one hundred forty-four million, two hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 857 1151 1160 1714 2302 3428 4285 4604 5755 6856 8570 9208 11510 17140 23020 24853 33379 34280 46040 49706 66758 99412 124265 133516 166895 198824 248530 267032 333790 497060 667580 986407 994120 1335160 1972814 3945628 4932035 7891256 9864070 19728140 28605803 39456280 57211606 114423212 143029015 228846424 286058030 572116060 1144232120