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1320116424 = 2331129269641
BaseRepresentation
bin100111010101111…
…0110000011001000
310102000000212021220
41032223312003020
510200422211144
6334554402040
744466542634
oct11653660310
93360025256
101320116424
11618198010
1230a130320
1318065c3a3
14c7479dc4
157ad65919
hex4eaf60c8

1320116424 has 128 divisors (see below), whose sum is σ = 3744144000. Its totient is φ = 384204800.

The previous prime is 1320116417. The next prime is 1320116437. The reversal of 1320116424 is 4246110231.

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

It is a junction number, because it is equal to n+sod(n) for n = 1320116394 and 1320116403.

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, 2059144 + ... + 2059784.

It is an arithmetic number, because the mean of its divisors is an integer number (29251125).

Almost surely, 21320116424 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 1320116424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872072000).

1320116424 is an abundant number, since it is smaller than the sum of its proper divisors (2424027576).

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

1320116424 is a wasteful number, since it uses less digits than its factorization.

1320116424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1320116424 is about 36333.4064464096. The cubic root of 1320116424 is about 1096.9935602009.

Adding to 1320116424 its reverse (4246110231), we get a palindrome (5566226655).

The spelling of 1320116424 in words is "one billion, three hundred twenty million, one hundred sixteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 132 174 232 264 269 319 348 538 638 641 696 807 957 1076 1276 1282 1614 1914 1923 2152 2552 2564 2959 3228 3828 3846 5128 5918 6456 7051 7656 7692 7801 8877 11836 14102 15384 15602 17754 18589 21153 23403 23672 28204 31204 35508 37178 42306 46806 55767 56408 62408 71016 74356 84612 85811 93612 111534 148712 169224 171622 172429 187224 204479 223068 257433 343244 344858 408958 446136 514866 517287 613437 686488 689716 817916 1029732 1034574 1226874 1379432 1635832 1896719 2059464 2069148 2453748 3793438 4138296 4907496 5000441 5690157 7586876 10000882 11380314 15001323 15173752 20001764 22760628 30002646 40003528 45521256 55004851 60005292 110009702 120010584 165014553 220019404 330029106 440038808 660058212 1320116424