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1200131040 = 25352500273
BaseRepresentation
bin100011110001000…
…1000101111100000
310002122020222021210
41013202020233200
54424213143130
6315030550120
741511642213
oct10742105740
93078228253
101200131040
11566496239
12295b08340
1316183c014
14b556577a
15705645b0
hex47888be0

1200131040 has 48 divisors (see below), whose sum is σ = 3780414288. Its totient is φ = 320034816.

The previous prime is 1200131039. The next prime is 1200131047. The reversal of 1200131040 is 401310021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200131047) 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 7 ways as a sum of consecutive naturals, for example, 1249657 + ... + 1250616.

It is an arithmetic number, because the mean of its divisors is an integer number (78758631).

Almost surely, 21200131040 is an apocalyptic number.

1200131040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200131040 is an abundant number, since it is smaller than the sum of its proper divisors (2580283248).

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

1200131040 is a wasteful number, since it uses less digits than its factorization.

1200131040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500291 (or 2500283 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1200131040 is about 34642.9074992270. The cubic root of 1200131040 is about 1062.6972485466.

Adding to 1200131040 its reverse (401310021), we get a palindrome (1601441061).

The spelling of 1200131040 in words is "one billion, two hundred million, one hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2500273 5000546 7500819 10001092 12501365 15001638 20002184 25002730 30003276 37504095 40004368 50005460 60006552 75008190 80008736 100010920 120013104 150016380 200021840 240026208 300032760 400043680 600065520 1200131040