Search a number
-
+
300592072 = 23112476607
BaseRepresentation
bin10001111010101…
…010101111001000
3202221121122210201
4101322222233020
51103422421242
645454421544
710306663504
oct2172525710
9687548721
10300592072
11144749300
12848018b4
134a377441
142bcc9304
151b5c94b7
hex11eaabc8

300592072 has 48 divisors (see below), whose sum is σ = 632782080. Its totient is φ = 133705440.

The previous prime is 300592067. The next prime is 300592081. The reversal of 300592072 is 270295003.

It is a self number, because there is not a number n which added to its sum of digits gives 300592072.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42193 + ... + 48799.

It is an arithmetic number, because the mean of its divisors is an integer number (13182960).

Almost surely, 2300592072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300592072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316391040).

300592072 is an abundant number, since it is smaller than the sum of its proper divisors (332190008).

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

300592072 is a wasteful number, since it uses less digits than its factorization.

300592072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6682 (or 6667 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 300592072 is about 17337.5912975246. The cubic root of 300592072 is about 669.8730523572.

It can be divided in two parts, 30059 and 2072, that added together give a triangular number (32131 = T253).

The spelling of 300592072 in words is "three hundred million, five hundred ninety-two thousand, seventy-two".

Divisors: 1 2 4 8 11 22 44 47 88 94 121 188 242 376 484 517 968 1034 2068 4136 5687 6607 11374 13214 22748 26428 45496 52856 72677 145354 290708 310529 581416 621058 799447 1242116 1598894 2484232 3197788 3415819 6395576 6831638 13663276 27326552 37574009 75148018 150296036 300592072