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132148170 = 232571119069
BaseRepresentation
bin1111110000001…
…10101111001010
3100012122211012200
413320012233022
5232312220140
621040221030
73163145430
oct770065712
9305584180
10132148170
1168659970
123830a776
13214bb4ab
141379cd50
15b905030
hex7e06bca

132148170 has 96 divisors (see below), whose sum is σ = 428388480. Its totient is φ = 27457920.

The previous prime is 132148169. The next prime is 132148171. The reversal of 132148170 is 71841231.

132148170 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (132148169) and next prime (132148171).

It is not an unprimeable number, because it can be changed into a prime (132148171) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2605 + ... + 16464.

It is an arithmetic number, because the mean of its divisors is an integer number (4462380).

Almost surely, 2132148170 is an apocalyptic number.

132148170 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 132148170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214194240).

132148170 is an abundant number, since it is smaller than the sum of its proper divisors (296240310).

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

132148170 is a wasteful number, since it uses less digits than its factorization.

132148170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19100 (or 19097 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 132148170 is about 11495.5717561155. The cubic root of 132148170 is about 509.3547780498.

It can be divided in two parts, 1 and 32148170, that added together give a triangular number (32148171 = T8018).

The spelling of 132148170 in words is "one hundred thirty-two million, one hundred forty-eight thousand, one hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 55 63 66 70 77 90 99 105 110 126 154 165 198 210 231 315 330 385 462 495 630 693 770 990 1155 1386 2310 3465 6930 19069 38138 57207 95345 114414 133483 171621 190690 209759 266966 286035 343242 400449 419518 572070 629277 667415 800898 858105 1048795 1201347 1258554 1334830 1468313 1716210 1887831 2002245 2097590 2402694 2936626 3146385 3775662 4004490 4404939 6006735 6292770 7341565 8809878 9439155 12013470 13214817 14683130 18878310 22024695 26429634 44049390 66074085 132148170