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132742170 = 232511197057
BaseRepresentation
bin1111110100101…
…11110000011010
3100020210000000200
413322113300122
5232440222140
621101043030
73201201261
oct772276032
9306700020
10132742170
1168a25180
1238556476
1321668982
14138b55d8
15b9c1030
hex7e97c1a

132742170 has 96 divisors (see below), whose sum is σ = 396377280. Its totient is φ = 30481920.

The previous prime is 132742139. The next prime is 132742187. The reversal of 132742170 is 71247231.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15282 + ... + 22338.

It is an arithmetic number, because the mean of its divisors is an integer number (4128930).

Almost surely, 2132742170 is an apocalyptic number.

132742170 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132742170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198188640).

132742170 is an abundant number, since it is smaller than the sum of its proper divisors (263635110).

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

132742170 is a wasteful number, since it uses less digits than its factorization.

132742170 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7100 (or 7097 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 132742170 is about 11521.3788237346. The cubic root of 132742170 is about 510.1168129196.

The spelling of 132742170 in words is "one hundred thirty-two million, seven hundred forty-two thousand, one hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 19 22 30 33 38 45 55 57 66 90 95 99 110 114 165 171 190 198 209 285 330 342 418 495 570 627 855 990 1045 1254 1710 1881 2090 3135 3762 6270 7057 9405 14114 18810 21171 35285 42342 63513 70570 77627 105855 127026 134083 155254 211710 232881 268166 317565 388135 402249 465762 635130 670415 698643 776270 804498 1164405 1206747 1340830 1397286 1474913 2011245 2328810 2413494 2949826 3493215 4022490 4424739 6033735 6986430 7374565 8849478 12067470 13274217 14749130 22123695 26548434 44247390 66371085 132742170