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144673920 = 2732525117
BaseRepresentation
bin10001001111110…
…00110010000000
3101002020012022100
420213320302000
5244014031140
622204510400
73404464566
oct1047706200
9332205270
10144673920
1174734726
124054b400
1323c85891
14152dda36
15ca7b530
hex89f8c80

144673920 has 96 divisors (see below), whose sum is σ = 499597020. Its totient is φ = 38578176.

The previous prime is 144673913. The next prime is 144673939. The reversal of 144673920 is 29376441.

It can be written as a sum of positive squares in 2 ways, for example, as 144576576 + 97344 = 12024^2 + 312^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 6799 + ... + 18318.

Almost surely, 2144673920 is an apocalyptic number.

144673920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144673920 is an abundant number, since it is smaller than the sum of its proper divisors (354923100).

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

144673920 is a wasteful number, since it uses less digits than its factorization.

144673920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25142 (or 25127 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 144673920 is about 12028.0472230533. The cubic root of 144673920 is about 524.9646778957.

The spelling of 144673920 in words is "one hundred forty-four million, six hundred seventy-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 25117 50234 75351 100468 125585 150702 200936 226053 251170 301404 376755 401872 452106 502340 602808 753510 803744 904212 1004680 1130265 1205616 1507020 1607488 1808424 2009360 2260530 2411232 3014040 3214976 3616848 4018720 4521060 4822464 6028080 7233696 8037440 9042120 9644928 12056160 14467392 16074880 18084240 24112320 28934784 36168480 48224640 72336960 144673920