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1406133252 = 2232181215797
BaseRepresentation
bin101001111001111…
…1110010000000100
310121222212222012100
41103303332100010
510334432231002
6351310152100
746562635566
oct12363762004
93558788170
101406133252
116617a87a7
12332ab2630
13195418314
14d4a6b336
15836a711c
hex53cfe404

1406133252 has 36 divisors (see below), whose sum is σ = 3574046476. Its totient is φ = 466119360.

The previous prime is 1406133233. The next prime is 1406133299. The reversal of 1406133252 is 2523316041.

1406133252 is a `hidden beast` number, since 1 + 40 + 613 + 3 + 2 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 345067776 + 1061065476 = 18576^2 + 32574^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×14061332523 (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101383 + ... + 114414.

Almost surely, 21406133252 is an apocalyptic number.

1406133252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1406133252 is an abundant number, since it is smaller than the sum of its proper divisors (2167913224).

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

1406133252 is a wasteful number, since it uses less digits than its factorization.

1406133252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215988 (or 215983 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1406133252 is about 37498.4433276903. The cubic root of 1406133252 is about 1120.3201816307.

Adding to 1406133252 its reverse (2523316041), we get a palindrome (3929449293).

The spelling of 1406133252 in words is "one billion, four hundred six million, one hundred thirty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 181 362 543 724 1086 1629 2172 3258 6516 215797 431594 647391 863188 1294782 1942173 2589564 3884346 7768692 39059257 78118514 117177771 156237028 234355542 351533313 468711084 703066626 1406133252