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4072530 = 2357114143
BaseRepresentation
bin1111100010010001010010
321122220110110
433202101102
52020310110
6223142150
746421160
oct17422122
97586413
104072530
112331830
121444956
13ac78a7
14780230
15556a20
hex3e2452

4072530 has 128 divisors (see below), whose sum is σ = 12773376. Its totient is φ = 806400.

The previous prime is 4072513. The next prime is 4072531. The reversal of 4072530 is 352704.

4072530 = T357 + T358 + ... + T411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 4072497 and 4072506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4072531) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94689 + ... + 94731.

It is an arithmetic number, because the mean of its divisors is an integer number (99792).

Almost surely, 24072530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4072530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6386688).

4072530 is an abundant number, since it is smaller than the sum of its proper divisors (8700846).

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

4072530 is a wasteful number, since it uses less digits than its factorization.

4072530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112.

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 4072530 is about 2018.0510399888. The cubic root of 4072530 is about 159.6938154844.

It can be divided in two parts, 40725 and 30, that added together give a triangular number (40755 = T285).

The spelling of 4072530 in words is "four million, seventy-two thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 41 42 43 55 66 70 77 82 86 105 110 123 129 154 165 205 210 215 231 246 258 287 301 330 385 410 430 451 462 473 574 602 615 645 770 861 902 903 946 1155 1230 1290 1353 1419 1435 1505 1722 1763 1806 2255 2310 2365 2706 2838 2870 3010 3157 3311 3526 4305 4510 4515 4730 5289 6314 6622 6765 7095 8610 8815 9030 9471 9933 10578 12341 13530 14190 15785 16555 17630 18942 19393 19866 24682 26445 31570 33110 37023 38786 47355 49665 52890 58179 61705 74046 94710 96965 99330 116358 123410 135751 185115 193930 271502 290895 370230 407253 581790 678755 814506 1357510 2036265 4072530