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144999720 = 2334544753
BaseRepresentation
bin10001010010010…
…00010100101000
3101002211202020000
420221020110220
5244104442340
622215503000
73410322465
oct1051102450
9332752200
10144999720
1174937488
1240687a60
132406ac68
141538666c
15cae2d30
hex8a48528

144999720 has 80 divisors (see below), whose sum is σ = 487371060. Its totient is φ = 38665728.

The previous prime is 144999719. The next prime is 144999721. The reversal of 144999720 is 27999441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (144999719) and next prime (144999721).

It can be written as a sum of positive squares in 2 ways, for example, as 141562404 + 3437316 = 11898^2 + 1854^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (144999721) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19137 + ... + 25616.

Almost surely, 2144999720 is an apocalyptic number.

144999720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144999720 is an abundant number, since it is smaller than the sum of its proper divisors (342371340).

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

144999720 is a wasteful number, since it uses less digits than its factorization.

144999720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44776 (or 44763 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 144999720 is about 12041.5829524195. The cubic root of 144999720 is about 525.3584490871.

The spelling of 144999720 in words is "one hundred forty-four million, nine hundred ninety-nine thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 44753 89506 134259 179012 223765 268518 358024 402777 447530 537036 671295 805554 895060 1074072 1208331 1342590 1611108 1790120 2013885 2416662 2685180 3222216 3624993 4027770 4833324 5370360 6041655 7249986 8055540 9666648 12083310 14499972 16111080 18124965 24166620 28999944 36249930 48333240 72499860 144999720