Search a number
-
+
1301044320 = 253253724419
BaseRepresentation
bin100110110001100…
…0101110001100000
310100200010220021200
41031203011301200
510131031404240
6333033521200
744145460062
oct11543056140
93320126250
101301044320
11608450944
12303873200
13179712414
14c4b13732
1579349930
hex4d8c5c60

1301044320 has 144 divisors (see below), whose sum is σ = 4559995440. Its totient is φ = 337554432.

The previous prime is 1301044307. The next prime is 1301044373. The reversal of 1301044320 is 234401031.

1301044320 is a `hidden beast` number, since 1 + 301 + 0 + 44 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 1301044293 and 1301044302.

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 23 ways as a sum of consecutive naturals, for example, 41071 + ... + 65489.

It is an arithmetic number, because the mean of its divisors is an integer number (31666635).

Almost surely, 21301044320 is an apocalyptic number.

1301044320 is a gapful number since it is divisible by the number (10) 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 1301044320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2279997720).

1301044320 is an abundant number, since it is smaller than the sum of its proper divisors (3258951120).

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

1301044320 is a wasteful number, since it uses less digits than its factorization.

1301044320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24477 (or 24466 counting only the distinct ones).

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

The square root of 1301044320 is about 36069.9919600767. The cubic root of 1301044320 is about 1091.6850518694.

Adding to 1301044320 its reverse (234401031), we get a palindrome (1535445351).

The spelling of 1301044320 in words is "one billion, three hundred one million, forty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 37 40 45 48 60 72 74 80 90 96 111 120 144 148 160 180 185 222 240 288 296 333 360 370 444 480 555 592 666 720 740 888 1110 1184 1332 1440 1480 1665 1776 2220 2664 2960 3330 3552 4440 5328 5920 6660 8880 10656 13320 17760 24419 26640 48838 53280 73257 97676 122095 146514 195352 219771 244190 293028 366285 390704 439542 488380 586056 732570 781408 879084 903503 976760 1098855 1172112 1465140 1758168 1807006 1953520 2197710 2344224 2710509 2930280 3516336 3614012 3907040 4395420 4517515 5421018 5860560 7032672 7228024 8131527 8790840 9035030 10842036 11721120 13552545 14456048 16263054 17581680 18070060 21684072 27105090 28912096 32526108 35163360 36140120 40657635 43368144 54210180 65052216 72280240 81315270 86736288 108420360 130104432 144560480 162630540 216840720 260208864 325261080 433681440 650522160 1301044320