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132096426 = 23711317139
BaseRepresentation
bin1111101111110…
…10000110101010
3100012120012020020
413313322012222
5232304041201
621035141310
73162541530
oct767720652
9305505206
10132096426
1168624000
12382a4836
13214a0a87
1413788150
15b8e4a36
hex7dfa1aa

132096426 has 128 divisors (see below), whose sum is σ = 354170880. Its totient is φ = 32060160.

The previous prime is 132096407. The next prime is 132096427. The reversal of 132096426 is 624690231.

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

It is not an unprimeable number, because it can be changed into a prime (132096427) 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 63 ways as a sum of consecutive naturals, for example, 950265 + ... + 950403.

It is an arithmetic number, because the mean of its divisors is an integer number (2766960).

Almost surely, 2132096426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132096426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177085440).

132096426 is an abundant number, since it is smaller than the sum of its proper divisors (222074454).

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

132096426 is a wasteful number, since it uses less digits than its factorization.

132096426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 132096426 is about 11493.3209300010. The cubic root of 132096426 is about 509.2882883047.

The spelling of 132096426 in words is "one hundred thirty-two million, ninety-six thousand, four hundred twenty-six".

Divisors: 1 2 3 6 7 11 14 17 21 22 33 34 42 51 66 77 102 119 121 139 154 187 231 238 242 278 357 363 374 417 462 561 714 726 834 847 973 1122 1309 1331 1529 1694 1946 2057 2363 2541 2618 2662 2919 3058 3927 3993 4114 4587 4726 5082 5838 6171 7089 7854 7986 9174 9317 10703 12342 14178 14399 16541 16819 18634 21406 22627 25993 27951 28798 32109 33082 33638 43197 45254 49623 50457 51986 55902 64218 67881 77979 86394 99246 100914 117733 135762 155958 158389 181951 185009 235466 285923 316778 353199 363902 370018 475167 545853 555027 571846 706398 857769 950334 1091706 1110054 1295063 1715538 2001461 2590126 3145153 3885189 4002922 6004383 6290306 7770378 9435459 12008766 18870918 22016071 44032142 66048213 132096426