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1320202016 = 25753611823
BaseRepresentation
bin100111010110000…
…1010111100100000
310102000012012200222
41032230022330200
510200432431031
6335000302212
744500350320
oct11654127440
93360165628
101320202016
11618246351
1230a171968
1318068c333
14c749d280
157ad80e7b
hex4eb0af20

1320202016 has 96 divisors (see below), whose sum is σ = 3077803008. Its totient is φ = 545725440.

The previous prime is 1320201989. The next prime is 1320202021. The reversal of 1320202016 is 6102020231.

It is a junction number, because it is equal to n+sod(n) for n = 1320201985 and 1320202003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 723281 + ... + 725103.

It is an arithmetic number, because the mean of its divisors is an integer number (32060448).

Almost surely, 21320202016 is an apocalyptic number.

1320202016 is a gapful number since it is divisible by the number (16) 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 1320202016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538901504).

1320202016 is an abundant number, since it is smaller than the sum of its proper divisors (1757600992).

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

1320202016 is a wasteful number, since it uses less digits than its factorization.

1320202016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1954 (or 1946 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1320202016 is about 36334.5842965074. The cubic root of 1320202016 is about 1097.0172681714.

Adding to 1320202016 its reverse (6102020231), we get a palindrome (7422222247).

The spelling of 1320202016 in words is "one billion, three hundred twenty million, two hundred two thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 61 106 112 122 212 224 244 371 424 427 488 742 848 854 976 1484 1696 1708 1823 1952 2968 3233 3416 3646 5936 6466 6832 7292 11872 12761 12932 13664 14584 22631 25522 25864 29168 45262 51044 51728 58336 90524 96619 102088 103456 111203 181048 193238 204176 222406 362096 386476 408352 444812 676333 724192 772952 778421 889624 1352666 1545904 1556842 1779248 2705332 3091808 3113684 3558496 5410664 5893759 6227368 10821328 11787518 12454736 21642656 23575036 24909472 41256313 47150072 82512626 94300144 165025252 188600288 330050504 660101008 1320202016