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199578132 = 2232132511699
BaseRepresentation
bin10111110010101…
…01001000010100
3111220112121201200
423321111020110
5402043000012
631445352500
74642246305
oct1371251024
9456477650
10199578132
11a2725006
1256a08730
133246a290
141c7127ac
15127c43dc
hexbe55214

199578132 has 72 divisors (see below), whose sum is σ = 545781600. Its totient is φ = 61128000.

The previous prime is 199578073. The next prime is 199578133. The reversal of 199578132 is 231875991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199578133) 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 23 ways as a sum of consecutive naturals, for example, 116619 + ... + 118317.

It is an arithmetic number, because the mean of its divisors is an integer number (7580300).

Almost surely, 2199578132 is an apocalyptic number.

199578132 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 199578132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272890800).

199578132 is an abundant number, since it is smaller than the sum of its proper divisors (346203468).

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

199578132 is a wasteful number, since it uses less digits than its factorization.

199578132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973 (or 1968 counting only the distinct ones).

The product of its digits is 136080, while the sum is 45.

The square root of 199578132 is about 14127.2124638939. The cubic root of 199578132 is about 584.3920750232.

The spelling of 199578132 in words is "one hundred ninety-nine million, five hundred seventy-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 251 468 502 753 1004 1506 1699 2259 3012 3263 3398 4518 5097 6526 6796 9036 9789 10194 13052 15291 19578 20388 22087 29367 30582 39156 44174 58734 61164 66261 88348 117468 132522 198783 265044 397566 426449 795132 852898 1279347 1705796 2558694 3838041 5117388 5543837 7676082 11087674 15352164 16631511 22175348 33263022 49894533 66526044 99789066 199578132