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132607140 = 223517294483
BaseRepresentation
bin1111110011101…
…10110010100100
3100020112010210120
413321312302210
5232421412030
621054121540
73200066511
oct771666244
9306463716
10132607140
1168942786
12384b02b0
132161c383
141387c308
15b996010
hex7e76ca4

132607140 has 96 divisors (see below), whose sum is σ = 406788480. Its totient is φ = 32126976.

The previous prime is 132607103. The next prime is 132607147. The reversal of 132607140 is 41706231.

It is a self number, because there is not a number n which added to its sum of digits gives 132607140.

It is not an unprimeable number, because it can be changed into a prime (132607147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27339 + ... + 31821.

It is an arithmetic number, because the mean of its divisors is an integer number (4237380).

Almost surely, 2132607140 is an apocalyptic number.

132607140 is a gapful number since it is divisible by the number (10) 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 132607140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203394240).

132607140 is an abundant number, since it is smaller than the sum of its proper divisors (274181340).

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

132607140 is a wasteful number, since it uses less digits than its factorization.

132607140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4541 (or 4539 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 132607140 is about 11515.5173570274. The cubic root of 132607140 is about 509.9437846535.

Subtracting from 132607140 its reverse (41706231), we obtain a palindrome (90900909).

The spelling of 132607140 in words is "one hundred thirty-two million, six hundred seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 29 30 34 51 58 60 68 85 87 102 116 145 170 174 204 255 290 340 348 435 493 510 580 870 986 1020 1479 1740 1972 2465 2958 4483 4930 5916 7395 8966 9860 13449 14790 17932 22415 26898 29580 44830 53796 67245 76211 89660 130007 134490 152422 228633 260014 268980 304844 381055 390021 457266 520028 650035 762110 780042 914532 1143165 1300070 1524220 1560084 1950105 2210119 2286330 2600140 3900210 4420238 4572660 6630357 7800420 8840476 11050595 13260714 22101190 26521428 33151785 44202380 66303570 132607140