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119196132 = 223112103797
BaseRepresentation
bin1110001101011…
…00100111100100
322022021210100120
413012230213210
5221003234012
615454441540
72645102406
oct706544744
9268253316
10119196132
1161312900
1233b032b0
131b905073
1411b8ab76
15a6e758c
hex71ac9e4

119196132 has 72 divisors (see below), whose sum is σ = 309062208. Its totient is φ = 35724480.

The previous prime is 119196131. The next prime is 119196137. The reversal of 119196132 is 231691911.

It is a super-2 number, since 2×1191961322 = 28415435767522848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 119196093 and 119196102.

It is not an unprimeable number, because it can be changed into a prime (119196131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149158 + ... + 149954.

Almost surely, 2119196132 is an apocalyptic number.

119196132 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 119196132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154531104).

119196132 is an abundant number, since it is smaller than the sum of its proper divisors (189866076).

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

119196132 is a wasteful number, since it uses less digits than its factorization.

119196132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 916 counting only the distinct ones).

The product of its digits is 2916, while the sum is 33.

The square root of 119196132 is about 10917.6981090338. The cubic root of 119196132 is about 492.1385524254.

It can be divided in two parts, 119 and 196132, that added together give a triangular number (196251 = T626).

The spelling of 119196132 in words is "one hundred nineteen million, one hundred ninety-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 103 121 132 206 242 309 363 412 484 618 726 797 1133 1236 1452 1594 2266 2391 3188 3399 4532 4782 6798 8767 9564 12463 13596 17534 24926 26301 35068 37389 49852 52602 74778 82091 96437 105204 149556 164182 192874 246273 289311 328364 385748 492546 578622 903001 985092 1157244 1806002 2709003 3612004 5418006 9933011 10836012 19866022 29799033 39732044 59598066 119196132