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4050720 = 253252997
BaseRepresentation
bin1111011100111100100000
321121210112200
433130330200
52014110340
6222453200
746300452
oct17347440
97553480
104050720
112317403
121434200
13aba99b
147762d2
15550330
hex3dcf20

4050720 has 144 divisors (see below), whose sum is σ = 14447160. Its totient is φ = 1032192.

The previous prime is 4050719. The next prime is 4050721. The reversal of 4050720 is 270504.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4050719) and next prime (4050721).

It can be written as a sum of positive squares in 4 ways, for example, as 3196944 + 853776 = 1788^2 + 924^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4050693 and 4050702.

It is not an unprimeable number, because it can be changed into a prime (4050721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41712 + ... + 41808.

Almost surely, 24050720 is an apocalyptic number.

4050720 is a gapful number since it is divisible by the number (40) 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 4050720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7223580).

4050720 is an abundant number, since it is smaller than the sum of its proper divisors (10396440).

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

4050720 is a wasteful number, since it uses less digits than its factorization.

4050720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 4050720 is about 2012.6400572383. The cubic root of 4050720 is about 159.4082306716.

The spelling of 4050720 in words is "four million, fifty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 32 36 40 45 48 58 60 72 80 87 90 96 97 116 120 144 145 160 174 180 194 232 240 261 288 290 291 348 360 388 435 464 480 485 522 580 582 696 720 776 870 873 928 970 1044 1160 1164 1305 1392 1440 1455 1552 1740 1746 1940 2088 2320 2328 2610 2784 2813 2910 3104 3480 3492 3880 4176 4365 4640 4656 5220 5626 5820 6960 6984 7760 8352 8439 8730 9312 10440 11252 11640 13920 13968 14065 15520 16878 17460 20880 22504 23280 25317 27936 28130 33756 34920 41760 42195 45008 46560 50634 56260 67512 69840 84390 90016 101268 112520 126585 135024 139680 168780 202536 225040 253170 270048 337560 405072 450080 506340 675120 810144 1012680 1350240 2025360 4050720