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144270720 = 2734511223
BaseRepresentation
bin10001001100101…
…10010110000000
3101001110201020000
420212112112000
5243413130340
622152120000
73401165226
oct1046262600
9331421200
10144270720
1174489800
1240396000
1323b741b9
1415236b16
15c9ebd30
hex8996580

144270720 has 480 divisors, whose sum is σ = 590934960. Its totient is φ = 33454080.

The previous prime is 144270701. The next prime is 144270757. The reversal of 144270720 is 27072441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6272629 + ... + 6272651.

Almost surely, 2144270720 is an apocalyptic number.

144270720 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 144270720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295467480).

144270720 is an abundant number, since it is smaller than the sum of its proper divisors (446664240).

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

144270720 is a wasteful number, since it uses less digits than its factorization.

144270720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 144270720 is about 12011.2747033777. The cubic root of 144270720 is about 524.4765394724.

The spelling of 144270720 in words is "one hundred forty-four million, two hundred seventy thousand, seven hundred twenty".