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1320301320 = 2335131994253
BaseRepresentation
bin100111010110010…
…0011001100001000
310102000101020220220
41032230203030020
510200444120240
6335002350040
744501242662
oct11654431410
93360336826
101320301320
11618303a18
1230a1bb320
131806c55b0
14c74c7532
157ada05d0
hex4eb23308

1320301320 has 128 divisors (see below), whose sum is σ = 4288032000. Its totient is φ = 323288064.

The previous prime is 1320301313. The next prime is 1320301321. The reversal of 1320301320 is 231030231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1320301320.

It is not an unprimeable number, because it can be changed into a prime (1320301321) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 308314 + ... + 312566.

It is an arithmetic number, because the mean of its divisors is an integer number (33500250).

Almost surely, 21320301320 is an apocalyptic number.

1320301320 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 1320301320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2144016000).

1320301320 is an abundant number, since it is smaller than the sum of its proper divisors (2967730680).

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

1320301320 is a wasteful number, since it uses less digits than its factorization.

1320301320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4479 (or 4475 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 1320301320 is about 36335.9507925691. The cubic root of 1320301320 is about 1097.0447729195.

Adding to 1320301320 its reverse (231030231), we get a palindrome (1551331551).

The spelling of 1320301320 in words is "one billion, three hundred twenty million, three hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 199 260 312 390 398 520 597 780 796 995 1194 1560 1592 1990 2388 2587 2985 3980 4253 4776 5174 5970 7761 7960 8506 10348 11940 12759 12935 15522 17012 20696 21265 23880 25518 25870 31044 34024 38805 42530 51036 51740 55289 62088 63795 77610 85060 102072 103480 110578 127590 155220 165867 170120 221156 255180 276445 310440 331734 442312 510360 552890 663468 829335 846347 1105780 1326936 1658670 1692694 2211560 2539041 3317340 3385388 4231735 5078082 6634680 6770776 8463470 10156164 11002511 12695205 16926940 20312328 22005022 25390410 33007533 33853880 44010044 50780820 55012555 66015066 88020088 101561640 110025110 132030132 165037665 220050220 264060264 330075330 440100440 660150660 1320301320