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1240113120 = 25354360083
BaseRepresentation
bin100100111101010…
…1001111111100000
310012102111021101120
41021322221333200
510014432104440
6323015532240
742505534101
oct11172517740
93172437346
101240113120
11587014384
122a738a080
13169bca65c
14ba9b23a8
1573d10dd0
hex49ea9fe0

1240113120 has 96 divisors (see below), whose sum is σ = 3997268352. Its totient is φ = 323000832.

The previous prime is 1240113107. The next prime is 1240113131. The reversal of 1240113120 is 213110421.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×12401131202 = 3075761100792268800, which contains 22 as substring.

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 1240113120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9402 + ... + 50681.

It is an arithmetic number, because the mean of its divisors is an integer number (41638212).

Almost surely, 21240113120 is an apocalyptic number.

1240113120 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 1240113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1998634176).

1240113120 is an abundant number, since it is smaller than the sum of its proper divisors (2757155232).

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

1240113120 is a wasteful number, since it uses less digits than its factorization.

1240113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60144 (or 60136 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1240113120 is about 35215.2398827553. The cubic root of 1240113120 is about 1074.3697390842.

Adding to 1240113120 its reverse (213110421), we get a palindrome (1453223541).

The spelling of 1240113120 in words is "one billion, two hundred forty million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 80 86 96 120 129 160 172 215 240 258 344 430 480 516 645 688 860 1032 1290 1376 1720 2064 2580 3440 4128 5160 6880 10320 20640 60083 120166 180249 240332 300415 360498 480664 600830 720996 901245 961328 1201660 1441992 1802490 1922656 2403320 2583569 2883984 3604980 4806640 5167138 5767968 7209960 7750707 9613280 10334276 12917845 14419920 15501414 20668552 25835690 28839840 31002828 38753535 41337104 51671380 62005656 77507070 82674208 103342760 124011312 155014140 206685520 248022624 310028280 413371040 620056560 1240113120