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132047685 = 33571112703
BaseRepresentation
bin1111101111011…
…10001101000101
3100012110201101000
413313232031011
5232301011220
621034123513
73162246450
oct767561505
9305421330
10132047685
11685a0420
1238280599
1321484833
1413774497
15b8d5390
hex7dee345

132047685 has 64 divisors (see below), whose sum is σ = 292700160. Its totient is φ = 54872640.

The previous prime is 132047681. The next prime is 132047689. The reversal of 132047685 is 586740231.

It is an interprime number because it is at equal distance from previous prime (132047681) and next prime (132047689).

It is not a de Polignac number, because 132047685 - 22 = 132047681 is a prime.

It is a super-2 number, since 2×1320476852 = 34873182227718450, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132047681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4044 + ... + 16746.

It is an arithmetic number, because the mean of its divisors is an integer number (4573440).

Almost surely, 2132047685 is an apocalyptic number.

132047685 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132047685 is an abundant number, since it is smaller than the sum of its proper divisors (160652475).

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

132047685 is a wasteful number, since it uses less digits than its factorization.

132047685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12735 (or 12729 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 132047685 is about 11491.2003289474. The cubic root of 132047685 is about 509.2256414567.

The spelling of 132047685 in words is "one hundred thirty-two million, forty-seven thousand, six hundred eighty-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 55 63 77 99 105 135 165 189 231 297 315 385 495 693 945 1155 1485 2079 3465 10395 12703 38109 63515 88921 114327 139733 190545 266763 342981 419199 444605 571635 698665 800289 978131 1257597 1333815 1714905 2095995 2400867 2934393 3772791 4001445 4890655 6287985 8803179 12004335 14671965 18863955 26409537 44015895 132047685