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1320010296 = 2331122319763
BaseRepresentation
bin100111010101101…
…1100001000111000
310101222211110201020
41032223130020320
510200410312141
6334552222440
744465621343
oct11653341070
93358743636
101320010296
11618125300
1230a09aa20
13180622ca7
14c744d45a
157ad44266
hex4eadc238

1320010296 has 96 divisors (see below), whose sum is σ = 3785201280. Its totient is φ = 382592320.

The previous prime is 1320010283. The next prime is 1320010297. The reversal of 1320010296 is 6920100231.

It is a Harshad number since it is a multiple of its sum of digits (24).

1320010296 is a modest number, since divided by 10296 gives 1320 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320010297) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56911 + ... + 76673.

It is an arithmetic number, because the mean of its divisors is an integer number (39429180).

Almost surely, 21320010296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320010296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1892600640).

1320010296 is an abundant number, since it is smaller than the sum of its proper divisors (2465190984).

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

1320010296 is a wasteful number, since it uses less digits than its factorization.

1320010296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19817 (or 19802 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 1320010296 is about 36331.9459429302. The cubic root of 1320010296 is about 1096.9641625785.

The spelling of 1320010296 in words is "one billion, three hundred twenty million, ten thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 121 132 138 184 242 253 264 276 363 484 506 552 726 759 968 1012 1452 1518 2024 2783 2904 3036 5566 6072 8349 11132 16698 19763 22264 33396 39526 59289 66792 79052 118578 158104 217393 237156 434786 454549 474312 652179 869572 909098 1304358 1363647 1739144 1818196 2391323 2608716 2727294 3636392 4782646 5000039 5217432 5454588 7173969 9565292 10000078 10909176 14347938 15000117 19130584 20000156 28695876 30000234 40000312 55000429 57391752 60000468 110000858 120000936 165001287 220001716 330002574 440003432 660005148 1320010296