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419070132 = 223313298483
BaseRepresentation
bin11000111110101…
…000000010110100
31002012112222011000
4120332220002310
51324240221012
6105330043300
713246015545
oct3076500264
91065488130
10419070132
111a5610658
12b8419530
1368a8a6c0
143d92a4cc
1526bcdddc
hex18fa80b4

419070132 has 48 divisors (see below), whose sum is σ = 1170057280. Its totient is φ = 128944224.

The previous prime is 419070107. The next prime is 419070133. The reversal of 419070132 is 231070914.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 419070096 and 419070105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419070133) 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 15 ways as a sum of consecutive naturals, for example, 147838 + ... + 150645.

Almost surely, 2419070132 is an apocalyptic number.

It is an amenable number.

419070132 is an abundant number, since it is smaller than the sum of its proper divisors (750987148).

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

419070132 is a wasteful number, since it uses less digits than its factorization.

419070132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298509 (or 298501 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 419070132 is about 20471.2025049825. The cubic root of 419070132 is about 748.3341587031.

The spelling of 419070132 in words is "four hundred nineteen million, seventy thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 298483 596966 895449 1193932 1790898 2686347 3581796 3880279 5372694 7760558 8059041 10745388 11640837 15521116 16118082 23281674 32236164 34922511 46563348 69845022 104767533 139690044 209535066 419070132