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144206730 = 2345315743
BaseRepresentation
bin10001001100001…
…10101110001010
3101001100110110000
420212012232022
5243404103410
622150503430
73400510533
oct1046065612
9331313400
10144206730
1174445718
1240364b76
1323b51035
141521b68a
15c9d7dc0
hex8986b8a

144206730 has 80 divisors (see below), whose sum is σ = 400333824. Its totient is φ = 37208160.

The previous prime is 144206707. The next prime is 144206731. The reversal of 144206730 is 37602441.

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

It is a junction number, because it is equal to n+sod(n) for n = 144206694 and 144206703.

It is not an unprimeable number, because it can be changed into a prime (144206731) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22239 + ... + 27981.

Almost surely, 2144206730 is an apocalyptic number.

144206730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144206730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200166912).

144206730 is an abundant number, since it is smaller than the sum of its proper divisors (256127094).

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

144206730 is a wasteful number, since it uses less digits than its factorization.

144206730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5793 (or 5784 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 144206730 is about 12008.6106606884. The cubic root of 144206730 is about 524.3989856973.

The spelling of 144206730 in words is "one hundred forty-four million, two hundred six thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 81 90 93 135 155 162 186 270 279 310 405 465 558 810 837 930 1395 1674 2511 2790 4185 5022 5743 8370 11486 12555 17229 25110 28715 34458 51687 57430 86145 103374 155061 172290 178033 258435 310122 356066 465183 516870 534099 775305 890165 930366 1068198 1550610 1602297 1780330 2325915 2670495 3204594 4651830 4806891 5340990 8011485 9613782 14420673 16022970 24034455 28841346 48068910 72103365 144206730