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144795980 = 22572712081
BaseRepresentation
bin10001010000101…
…10100101001100
3101002110101202002
420220112211030
5244031432410
622211251432
73405513500
oct1050264514
9332411662
10144795980
11748083aa
12405a9b78
1323cc92c4
1415332300
15caa27a5
hex8a1694c

144795980 has 72 divisors (see below), whose sum is σ = 358870176. Its totient is φ = 48921600.

The previous prime is 144795977. The next prime is 144796027. The reversal of 144795980 is 89597441.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68540 + ... + 70620.

It is an arithmetic number, because the mean of its divisors is an integer number (4984308).

Almost surely, 2144795980 is an apocalyptic number.

144795980 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 144795980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179435088).

144795980 is an abundant number, since it is smaller than the sum of its proper divisors (214074196).

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

144795980 is a wasteful number, since it uses less digits than its factorization.

144795980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2175 (or 2166 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 47.

The square root of 144795980 is about 12033.1201273818. The cubic root of 144795980 is about 525.1122722849.

The spelling of 144795980 in words is "one hundred forty-four million, seven hundred ninety-five thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 71 98 140 142 196 245 284 355 490 497 710 980 994 1420 1988 2081 2485 3479 4162 4970 6958 8324 9940 10405 13916 14567 17395 20810 29134 34790 41620 58268 69580 72835 101969 145670 147751 203938 291340 295502 407876 509845 591004 738755 1019690 1034257 1477510 2039380 2068514 2955020 4137028 5171285 7239799 10342570 14479598 20685140 28959196 36198995 72397990 144795980