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4072770 = 232513592
BaseRepresentation
bin1111100010010101000010
321122220210100
433202111002
52020312040
6223143230
746421652
oct17422502
97586710
104072770
112331a29
121444b16
13ac7a30
14780362
15556b30
hex3e2542

4072770 has 72 divisors (see below), whose sum is σ = 11600316. Its totient is φ = 985536.

The previous prime is 4072753. The next prime is 4072793. The reversal of 4072770 is 772704.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3790809 + 281961 = 1947^2 + 531^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 69001 + ... + 69059.

Almost surely, 24072770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4072770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5800158).

4072770 is an abundant number, since it is smaller than the sum of its proper divisors (7527546).

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

4072770 is a wasteful number, since it uses less digits than its factorization.

4072770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 27.

The square root of 4072770 is about 2018.1105024255. The cubic root of 4072770 is about 159.6969524176.

The spelling of 4072770 in words is "four million, seventy-two thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 59 65 78 90 117 118 130 177 195 234 295 354 390 531 585 590 767 885 1062 1170 1534 1770 2301 2655 3481 3835 4602 5310 6903 6962 7670 10443 11505 13806 17405 20886 23010 31329 34515 34810 45253 52215 62658 69030 90506 104430 135759 156645 226265 271518 313290 407277 452530 678795 814554 1357590 2036385 4072770