Search a number
-
+
1300302144 = 26325474127
BaseRepresentation
bin100110110000001…
…0000100101000000
310100121202012012200
41031200100211000
510130334132034
6333005553200
744136246231
oct11540204500
93317665180
101300302144
11607a94279
12303575800
1317951266b
14c499d088
157924ea99
hex4d810940

1300302144 has 84 divisors (see below), whose sum is σ = 3734799744. Its totient is φ = 432536832.

The previous prime is 1300302127. The next prime is 1300302151. The reversal of 1300302144 is 4412030031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 313009 + ... + 317135.

Almost surely, 21300302144 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 1300302144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867399872).

1300302144 is an abundant number, since it is smaller than the sum of its proper divisors (2434497600).

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

1300302144 is a wasteful number, since it uses less digits than its factorization.

1300302144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4692 (or 4679 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1300302144 is about 36059.7024946130. The cubic root of 1300302144 is about 1091.4774297963.

Adding to 1300302144 its reverse (4412030031), we get a palindrome (5712332175).

The spelling of 1300302144 in words is "one billion, three hundred million, three hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 547 576 1094 1641 2188 3282 4127 4376 4923 6564 8254 8752 9846 12381 13128 16508 17504 19692 24762 26256 33016 35008 37143 39384 49524 52512 66032 74286 78768 99048 105024 132064 148572 157536 198096 264128 297144 315072 396192 594288 792384 1188576 2257469 2377152 4514938 6772407 9029876 13544814 18059752 20317221 27089628 36119504 40634442 54179256 72239008 81268884 108358512 144478016 162537768 216717024 325075536 433434048 650151072 1300302144