Search a number
-
+
4032990 = 234513383
BaseRepresentation
bin1111011000100111011110
321120220020000
433120213132
52013023430
6222235130
746164663
oct17304736
97526200
104032990
112305055
121425aa6
13ab28b0
1476da6a
15549e60
hex3d89de

4032990 has 80 divisors (see below), whose sum is σ = 11708928. Its totient is φ = 990144.

The previous prime is 4032989. The next prime is 4032991. The reversal of 4032990 is 992304.

It is an interprime number because it is at equal distance from previous prime (4032989) and next prime (4032991).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4032991) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10339 + ... + 10721.

Almost surely, 24032990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4032990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5854464).

4032990 is an abundant number, since it is smaller than the sum of its proper divisors (7675938).

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

4032990 is a wasteful number, since it uses less digits than its factorization.

4032990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 4032990 is about 2008.2305644522. The cubic root of 4032990 is about 159.1753139252.

The spelling of 4032990 in words is "four million, thirty-two thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 270 351 383 390 405 585 702 766 810 1053 1149 1170 1755 1915 2106 2298 3447 3510 3830 4979 5265 5745 6894 9958 10341 10530 11490 14937 17235 20682 24895 29874 31023 34470 44811 49790 51705 62046 74685 89622 103410 134433 149370 155115 224055 268866 310230 403299 448110 672165 806598 1344330 2016495 4032990