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132935985 = 3457133607
BaseRepresentation
bin1111110110001…
…11000100110001
3100021010211220000
413323013010301
5233012422420
621105140213
73202636320
oct773070461
9307124800
10132935985
1169047856
123862a669
1321705c60
14139260b7
15ba0d690
hex7ec7131

132935985 has 80 divisors (see below), whose sum is σ = 293373696. Its totient is φ = 56080512.

The previous prime is 132935983. The next prime is 132936101. The reversal of 132935985 is 589539231.

It is not a de Polignac number, because 132935985 - 21 = 132935983 is a prime.

It is a super-2 number, since 2×1329359852 = 35343952215840450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 132935985.

It is not an unprimeable number, because it can be changed into a prime (132935983) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35052 + ... + 38658.

Almost surely, 2132935985 is an apocalyptic number.

132935985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132935985 is an abundant number, since it is smaller than the sum of its proper divisors (160437711).

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

132935985 is a wasteful number, since it uses less digits than its factorization.

132935985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3644 (or 3635 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The square root of 132935985 is about 11529.7868583942. The cubic root of 132935985 is about 510.3649636777.

The spelling of 132935985 in words is "one hundred thirty-two million, nine hundred thirty-five thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 81 91 105 117 135 189 195 273 315 351 405 455 567 585 819 945 1053 1365 1755 2457 2835 3607 4095 5265 7371 10821 12285 18035 25249 32463 36855 46891 54105 75747 97389 126245 140673 162315 227241 234455 292167 328237 378735 422019 486945 681723 703365 984711 1136205 1266057 1460835 1641185 2045169 2110095 2954133 3408615 3798171 4923555 6330285 8862399 10225845 14770665 18990855 26587197 44311995 132935985