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1131407424 = 26327280607
BaseRepresentation
bin100001101101111…
…1110100001000000
32220211221110012200
41003123332201000
54304120014144
6304133553200
740015542630
oct10333764100
92824843180
101131407424
11530717164
12276aa5800
13150529464
14aa3966c0
15694dbc69
hex436fe840

1131407424 has 84 divisors (see below), whose sum is σ = 3706270464. Its totient is φ = 323258112.

The previous prime is 1131407419. The next prime is 1131407429. The reversal of 1131407424 is 4247041311.

It is an interprime number because it is at equal distance from previous prime (1131407419) and next prime (1131407429).

It is a tau number, because it is divible by the number of its divisors (84).

It is not an unprimeable number, because it can be changed into a prime (1131407429) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136272 + ... + 144335.

Almost surely, 21131407424 is an apocalyptic number.

1131407424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1131407424 is an abundant number, since it is smaller than the sum of its proper divisors (2574863040).

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

1131407424 is a wasteful number, since it uses less digits than its factorization.

1131407424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280632 (or 280619 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1131407424 is about 33636.4002830267. The cubic root of 1131407424 is about 1042.0126901416.

Adding to 1131407424 its reverse (4247041311), we get a palindrome (5378448735).

The spelling of 1131407424 in words is "one billion, one hundred thirty-one million, four hundred seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 280607 561214 841821 1122428 1683642 1964249 2244856 2525463 3367284 3928498 4489712 5050926 5892747 6734568 7856996 8979424 10101852 11785494 13469136 15713992 17678241 17958848 20203704 23570988 26938272 31427984 35356482 40407408 47141976 53876544 62855968 70712964 80814816 94283952 125711936 141425928 161629632 188567904 282851856 377135808 565703712 1131407424