Search a number
-
+
28310370 = 235113709
BaseRepresentation
bin110101111111…
…1101101100010
31222021022112020
41223333231202
524221412440
62450442310
7462430344
oct153775542
958238466
1028310370
1114a87000
129593396
135b32bca
143a8d294
1527433d0
hex1affb62

28310370 has 64 divisors (see below), whose sum is σ = 74839680. Its totient is φ = 6853440.

The previous prime is 28310369. The next prime is 28310371. The reversal of 28310370 is 7301382.

It is an interprime number because it is at equal distance from previous prime (28310369) and next prime (28310371).

It is a self number, because there is not a number n which added to its sum of digits gives 28310370.

It is not an unprimeable number, because it can be changed into a prime (28310371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39576 + ... + 40284.

It is an arithmetic number, because the mean of its divisors is an integer number (1169370).

Almost surely, 228310370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28310370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37419840).

28310370 is an abundant number, since it is smaller than the sum of its proper divisors (46529310).

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

28310370 is a wasteful number, since it uses less digits than its factorization.

28310370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 28310370 is about 5320.7490074237. The cubic root of 28310370 is about 304.7767604094.

It can be divided in two parts, 28310 and 370, that added together give a triangular number (28680 = T239).

The spelling of 28310370 in words is "twenty-eight million, three hundred ten thousand, three hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 605 709 726 1210 1331 1418 1815 2127 2662 3545 3630 3993 4254 6655 7090 7799 7986 10635 13310 15598 19965 21270 23397 38995 39930 46794 77990 85789 116985 171578 233970 257367 428945 514734 857890 943679 1286835 1887358 2573670 2831037 4718395 5662074 9436790 14155185 28310370