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1431212240 = 245192413907
BaseRepresentation
bin101010101001110…
…1001000011010000
310200202002010002202
41111103221003100
510412342242430
6354003502332
750316050303
oct12523510320
93622063082
101431212240
11674977a37
1233b3879a8
1319a689463
14d8118b3a
15859acd45
hex554e90d0

1431212240 has 80 divisors (see below), whose sum is σ = 3518137920. Its totient is φ = 539965440.

The previous prime is 1431212197. The next prime is 1431212261. The reversal of 1431212240 is 422121341.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 364367 + ... + 368273.

It is an arithmetic number, because the mean of its divisors is an integer number (43976724).

Almost surely, 21431212240 is an apocalyptic number.

1431212240 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 1431212240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759068960).

1431212240 is an abundant number, since it is smaller than the sum of its proper divisors (2086925680).

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

1431212240 is a wasteful number, since it uses less digits than its factorization.

1431212240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4180 (or 4174 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1431212240 is about 37831.3658225552. The cubic root of 1431212240 is about 1126.9414351886.

Adding to 1431212240 its reverse (422121341), we get a palindrome (1853333581).

The spelling of 1431212240 in words is "one billion, four hundred thirty-one million, two hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 241 304 380 482 760 964 1205 1520 1928 2410 3856 3907 4579 4820 7814 9158 9640 15628 18316 19280 19535 22895 31256 36632 39070 45790 62512 73264 74233 78140 91580 148466 156280 183160 296932 312560 366320 371165 593864 742330 941587 1187728 1484660 1883174 2969320 3766348 4707935 5938640 7532696 9415870 15065392 17890153 18831740 35780306 37663480 71560612 75326960 89450765 143121224 178901530 286242448 357803060 715606120 1431212240