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132888112 = 2472379653
BaseRepresentation
bin1111110101110…
…11011000110000
3100021001102012221
413322323120300
5233004404422
621104130424
73202346620
oct772733060
9307042187
10132888112
1169014895
1238606a14
13216ba226
1413912880
15b9ee3c7
hex7ebb630

132888112 has 80 divisors (see below), whose sum is σ = 311408640. Its totient is φ = 53703936.

The previous prime is 132888061. The next prime is 132888137. The reversal of 132888112 is 211888231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203178 + ... + 203830.

It is an arithmetic number, because the mean of its divisors is an integer number (3892608).

Almost surely, 2132888112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132888112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155704320).

132888112 is an abundant number, since it is smaller than the sum of its proper divisors (178520528).

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

132888112 is a wasteful number, since it uses less digits than its factorization.

132888112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 764 counting only the distinct ones).

The product of its digits is 6144, while the sum is 34.

The square root of 132888112 is about 11527.7106139944. The cubic root of 132888112 is about 510.3036919927.

The spelling of 132888112 in words is "one hundred thirty-two million, eight hundred eighty-eight thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 79 92 112 158 161 184 316 322 368 553 632 644 653 1106 1264 1288 1306 1817 2212 2576 2612 3634 4424 4571 5224 7268 8848 9142 10448 12719 14536 15019 18284 25438 29072 30038 36568 50876 51587 60076 73136 101752 103174 105133 120152 203504 206348 210266 240304 361109 412696 420532 722218 825392 841064 1186501 1444436 1682128 2373002 2888872 4746004 5777744 8305507 9492008 16611014 18984016 33222028 66444056 132888112