Search a number
-
+
1320233040 = 24335787317
BaseRepresentation
bin100111010110001…
…0010100001010000
310102000020210021000
41032230102201100
510200434424130
6335001102000
744500536630
oct11654224120
93360223230
101320233040
11618267695
1230a187900
131806a04a9
14c74aa6c0
157ad8a260
hex4eb12850

1320233040 has 160 divisors (see below), whose sum is σ = 5197167360. Its totient is φ = 301764096.

The previous prime is 1320233027. The next prime is 1320233059. The reversal of 1320233040 is 403320231.

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 31 ways as a sum of consecutive naturals, for example, 28539 + ... + 58778.

It is an arithmetic number, because the mean of its divisors is an integer number (32482296).

Almost surely, 21320233040 is an apocalyptic number.

1320233040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1320233040 is an abundant number, since it is smaller than the sum of its proper divisors (3876934320).

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

1320233040 is a wasteful number, since it uses less digits than its factorization.

1320233040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87346 (or 87334 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 1320233040 is about 36335.0112150801. The cubic root of 1320233040 is about 1097.0258611990.

Adding to 1320233040 its reverse (403320231), we get a palindrome (1723553271).

The spelling of 1320233040 in words is "one billion, three hundred twenty million, two hundred thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3780 5040 7560 15120 87317 174634 261951 349268 436585 523902 611219 698536 785853 873170 1047804 1222438 1309755 1397072 1571706 1746340 1833657 2095608 2357559 2444876 2619510 3056095 3143412 3492680 3667314 3929265 4191216 4715118 4889752 5239020 5500971 6112190 6286824 6985360 7334628 7858530 9168285 9430236 9779504 10478040 11001942 11787795 12224380 12573648 14669256 15717060 16502913 18336570 18860472 20956080 22003884 23575590 24448760 27504855 29338512 31434120 33005826 36673140 37720944 44007768 47151180 48897520 55009710 62868240 66011652 73346280 82514565 88015536 94302360 110019420 132023304 146692560 165029130 188604720 220038840 264046608 330058260 440077680 660116520 1320233040