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144517380 = 223572231543
BaseRepresentation
bin10001001110100…
…10100100000100
3101001221020120120
420213102210010
5243444024010
622201301540
73403243320
oct1047224404
9331836516
10144517380
1174638057
12404948b0
1323c2c557
141529c980
15ca49e70
hex89d2904

144517380 has 96 divisors (see below), whose sum is σ = 464830464. Its totient is φ = 32863104.

The previous prime is 144517369. The next prime is 144517393. The reversal of 144517380 is 83715441.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92889 + ... + 94431.

It is an arithmetic number, because the mean of its divisors is an integer number (4841984).

Almost surely, 2144517380 is an apocalyptic number.

144517380 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 144517380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232415232).

144517380 is an abundant number, since it is smaller than the sum of its proper divisors (320313084).

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

144517380 is a wasteful number, since it uses less digits than its factorization.

144517380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785 (or 1783 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 144517380 is about 12021.5381711327. The cubic root of 144517380 is about 524.7752688949.

The spelling of 144517380 in words is "one hundred forty-four million, five hundred seventeen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 223 420 446 669 892 1115 1338 1543 1561 2230 2676 3086 3122 3345 4460 4629 4683 6172 6244 6690 7715 7805 9258 9366 10801 13380 15430 15610 18516 18732 21602 23145 23415 30860 31220 32403 43204 46290 46830 54005 64806 92580 93660 108010 129612 162015 216020 324030 344089 648060 688178 1032267 1376356 1720445 2064534 2408623 3440890 4129068 4817246 5161335 6881780 7225869 9634492 10322670 12043115 14451738 20645340 24086230 28903476 36129345 48172460 72258690 144517380