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144320520 = 23353533407
BaseRepresentation
bin10001001101000…
…10100000001000
3101001120020112110
420212202200020
5243421224040
622153142320
73401463351
oct1046424010
9331506473
10144320520
1174513163
12403ba9a0
1323b90a76
141524ad28
15ca0b980
hex89a2808

144320520 has 64 divisors (see below), whose sum is σ = 434315520. Its totient is φ = 38365184.

The previous prime is 144320459. The next prime is 144320521. The reversal of 144320520 is 25023441.

It is not an unprimeable number, because it can be changed into a prime (144320521) 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, 40657 + ... + 44063.

It is an arithmetic number, because the mean of its divisors is an integer number (6786180).

Almost surely, 2144320520 is an apocalyptic number.

144320520 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 144320520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217157760).

144320520 is an abundant number, since it is smaller than the sum of its proper divisors (289995000).

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

144320520 is a wasteful number, since it uses less digits than its factorization.

144320520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3774 (or 3770 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 144320520 is about 12013.3475767581. The cubic root of 144320520 is about 524.5368795676.

Adding to 144320520 its reverse (25023441), we get a palindrome (169343961).

It can be divided in two parts, 1443 and 20520, that multiplied together give a triangular number (29610360 = T7695).

The spelling of 144320520 in words is "one hundred forty-four million, three hundred twenty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 353 706 1059 1412 1765 2118 2824 3407 3530 4236 5295 6814 7060 8472 10221 10590 13628 14120 17035 20442 21180 27256 34070 40884 42360 51105 68140 81768 102210 136280 204420 408840 1202671 2405342 3608013 4810684 6013355 7216026 9621368 12026710 14432052 18040065 24053420 28864104 36080130 48106840 72160260 144320520