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1604640132 = 223417217137
BaseRepresentation
bin101111110100100…
…1101110110000100
311010211102011110000
41133221031312010
511241241441012
6423121001300
754523134054
oct13751156604
94124364400
101604640132
11753860977
12389483230
131c759bb04
14113181564
1595d18ddc
hex5fa4dd84

1604640132 has 90 divisors (see below), whose sum is σ = 4456377002. Its totient is φ = 503387136.

The previous prime is 1604640077. The next prime is 1604640133. The reversal of 1604640132 is 2310464061.

1604640132 is a `hidden beast` number, since 1 + 6 + 0 + 4 + 640 + 13 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 171714816 + 1432925316 = 13104^2 + 37854^2 .

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 = 1604640096 and 1604640105.

It is not an unprimeable number, because it can be changed into a prime (1604640133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 85068 + ... + 102204.

Almost surely, 21604640132 is an apocalyptic number.

1604640132 is a gapful number since it is divisible by the number (12) 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 1604640132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2228188501).

1604640132 is an abundant number, since it is smaller than the sum of its proper divisors (2851736870).

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

1604640132 is a wasteful number, since it uses less digits than its factorization.

1604640132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17187 (or 17159 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1604640132 is about 40057.9596584749. The cubic root of 1604640132 is about 1170.7366564040.

The spelling of 1604640132 in words is "one billion, six hundred four million, six hundred forty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 289 306 324 459 578 612 867 918 1156 1377 1734 1836 2601 2754 3468 5202 5508 7803 10404 15606 17137 23409 31212 34274 46818 51411 68548 93636 102822 154233 205644 291329 308466 462699 582658 616932 873987 925398 1165316 1388097 1747974 1850796 2621961 2776194 3495948 4952593 5243922 5552388 7865883 9905186 10487844 14857779 15731766 19810372 23597649 29715558 31463532 44573337 47195298 59431116 89146674 94390596 133720011 178293348 267440022 401160033 534880044 802320066 1604640132