Search a number
-
+
28431060 = 22357139487
BaseRepresentation
bin110110001110…
…1001011010100
31222111110002020
41230131023110
524234243220
62453213140
7463442250
oct154351324
958443066
1028431060
1115059749
1296311b0
135b75b18
143ac1260
152769040
hex1b1d2d4

28431060 has 96 divisors (see below), whose sum is σ = 91822080. Its totient is φ = 6438528.

The previous prime is 28431031. The next prime is 28431071. The reversal of 28431060 is 6013482.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 28431060.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58137 + ... + 58623.

It is an arithmetic number, because the mean of its divisors is an integer number (956480).

Almost surely, 228431060 is an apocalyptic number.

28431060 is a gapful number since it is divisible by the number (20) 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 28431060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45911040).

28431060 is an abundant number, since it is smaller than the sum of its proper divisors (63391020).

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

28431060 is a wasteful number, since it uses less digits than its factorization.

28431060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 28431060 is about 5332.0783940224. The cubic root of 28431060 is about 305.2092445727.

The spelling of 28431060 in words is "twenty-eight million, four hundred thirty-one thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 139 140 210 278 417 420 487 556 695 834 973 974 1390 1461 1668 1946 1948 2085 2435 2780 2919 2922 3409 3892 4170 4865 4870 5838 5844 6818 7305 8340 9730 9740 10227 11676 13636 14595 14610 17045 19460 20454 29190 29220 34090 40908 51135 58380 67693 68180 102270 135386 203079 204540 270772 338465 406158 473851 676930 812316 947702 1015395 1353860 1421553 1895404 2030790 2369255 2843106 4061580 4738510 5686212 7107765 9477020 14215530 28431060