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144674640 = 24335116089
BaseRepresentation
bin10001001111110…
…00111101010000
3101002020020022000
420213320331100
5244014042030
622204514000
73404466645
oct1047707520
9332206260
10144674640
1174735220
124054b900
1323c85cc6
14152dddcc
15ca7b860
hex89f8f50

144674640 has 160 divisors (see below), whose sum is σ = 543715200. Its totient is φ = 35066880.

The previous prime is 144674617. The next prime is 144674653. The reversal of 144674640 is 46476441.

144674640 is a `hidden beast` number, since 1 + 4 + 4 + 6 + 7 + 4 + 640 = 666.

144674640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 144674595 and 144674604.

It is a congruent number.

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, 20716 + ... + 26804.

It is an arithmetic number, because the mean of its divisors is an integer number (3398220).

Almost surely, 2144674640 is an apocalyptic number.

144674640 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 144674640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271857600).

144674640 is an abundant number, since it is smaller than the sum of its proper divisors (399040560).

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

144674640 is a wasteful number, since it uses less digits than its factorization.

144674640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6122 (or 6110 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 144674640 is about 12028.0771530615. The cubic root of 144674640 is about 524.9655487597.

The spelling of 144674640 in words is "one hundred forty-four million, six hundred seventy-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 66 72 80 88 90 99 108 110 120 132 135 144 165 176 180 198 216 220 240 264 270 297 330 360 396 432 440 495 528 540 594 660 720 792 880 990 1080 1188 1320 1485 1584 1980 2160 2376 2640 2970 3960 4752 5940 6089 7920 11880 12178 18267 23760 24356 30445 36534 48712 54801 60890 66979 73068 91335 97424 109602 121780 133958 146136 164403 182670 200937 219204 243560 267916 274005 292272 328806 334895 365340 401874 438408 487120 535832 548010 602811 657612 669790 730680 803748 822015 876816 1004685 1071664 1096020 1205622 1315224 1339580 1461360 1607496 1644030 1808433 2009370 2192040 2411244 2630448 2679160 3014055 3214992 3288060 3616866 4018740 4384080 4822488 5358320 6028110 6576120 7233732 8037480 9042165 9644976 12056220 13152240 14467464 16074960 18084330 24112440 28934928 36168660 48224880 72337320 144674640