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1320240020 = 22511231132309
BaseRepresentation
bin100111010110001…
…0100001110010100
310102000021010211112
41032230110032110
510200440140040
6335001154152
744500566161
oct11654241624
93360233745
101320240020
11618271960
1230a18b958
131806a3718
14c74ad068
157ad8c365
hex4eb14394

1320240020 has 96 divisors (see below), whose sum is σ = 3185360640. Its totient is φ = 454952960.

The previous prime is 1320240013. The next prime is 1320240029. The reversal of 1320240020 is 200420231.

It is a junction number, because it is equal to n+sod(n) for n = 1320239977 and 1320240004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320240029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 570626 + ... + 572934.

It is an arithmetic number, because the mean of its divisors is an integer number (33180840).

Almost surely, 21320240020 is an apocalyptic number.

1320240020 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 1320240020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592680320).

1320240020 is an abundant number, since it is smaller than the sum of its proper divisors (1865120620).

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

1320240020 is a wasteful number, since it uses less digits than its factorization.

1320240020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2465 (or 2463 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 1320240020 is about 36335.1072655634. The cubic root of 1320240020 is about 1097.0277945009.

Adding to 1320240020 its reverse (200420231), we get a palindrome (1520660251).

The spelling of 1320240020 in words is "one billion, three hundred twenty million, two hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 113 115 220 226 230 253 452 460 506 565 1012 1130 1243 1265 2260 2309 2486 2530 2599 4618 4972 5060 5198 6215 9236 10396 11545 12430 12995 23090 24860 25399 25990 28589 46180 50798 51980 53107 57178 101596 106214 114356 126995 142945 212428 253990 260917 265535 285890 507980 521834 531070 571780 584177 1043668 1062140 1168354 1304585 2336708 2609170 2870087 2920885 5218340 5740174 5841770 6001091 11480348 11683540 12002182 14350435 24004364 28700870 30005455 57401740 60010910 66012001 120021820 132024002 264048004 330060005 660120010 1320240020