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141672132 = 223372191409
BaseRepresentation
bin10000111000110…
…11111011000100
3100212120200122000
420130123323010
5242232002012
622020305300
73340123200
oct1034337304
9325520560
10141672132
1172a74408
123b542230
1323474484
1414b5bb00
15c686ddc
hex871bec4

141672132 has 144 divisors (see below), whose sum is σ = 450072000. Its totient is φ = 38320128.

The previous prime is 141672109. The next prime is 141672137. The reversal of 141672132 is 231276141.

141672132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 141672096 and 141672105.

It is not an unprimeable number, because it can be changed into a prime (141672137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99844 + ... + 101252.

It is an arithmetic number, because the mean of its divisors is an integer number (3125500).

Almost surely, 2141672132 is an apocalyptic number.

141672132 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 141672132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225036000).

141672132 is an abundant number, since it is smaller than the sum of its proper divisors (308399868).

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

141672132 is a wasteful number, since it uses less digits than its factorization.

141672132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455 (or 1440 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 141672132 is about 11902.6103019464. The cubic root of 141672132 is about 521.3085043799.

The spelling of 141672132 in words is "one hundred forty-one million, six hundred seventy-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 49 54 57 63 76 84 98 108 114 126 133 147 171 189 196 228 252 266 294 342 378 399 441 513 532 588 684 756 798 882 931 1026 1197 1323 1409 1596 1764 1862 2052 2394 2646 2793 2818 3591 3724 4227 4788 5292 5586 5636 7182 8379 8454 9863 11172 12681 14364 16758 16908 19726 25137 25362 26771 29589 33516 38043 39452 50274 50724 53542 59178 69041 76086 80313 88767 100548 107084 118356 138082 152172 160626 177534 187397 207123 240939 266301 276164 321252 355068 374794 414246 481878 532602 562191 621369 722817 749588 828492 963756 1065204 1124382 1242738 1311779 1445634 1686573 1864107 2248764 2485476 2623558 2891268 3373146 3728214 3935337 5059719 5247116 6746292 7456428 7870674 10119438 11806011 15741348 20238876 23612022 35418033 47224044 70836066 141672132