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132946814 = 27112136037
BaseRepresentation
bin1111110110010…
…01101101111110
3100021011101202002
413323021231332
5233013244224
621105302302
73203013020
oct773115576
9307141662
10132946814
1169054a00
1238634992
132170ab70
141392a010
15ba119ae
hex7ec9b7e

132946814 has 48 divisors (see below), whose sum is σ = 269826144. Its totient is φ = 47805120.

The previous prime is 132946811. The next prime is 132946901. The reversal of 132946814 is 418649231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132946811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19004 + ... + 25040.

It is an arithmetic number, because the mean of its divisors is an integer number (5621378).

Almost surely, 2132946814 is an apocalyptic number.

132946814 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

132946814 is an abundant number, since it is smaller than the sum of its proper divisors (136879330).

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

132946814 is a wasteful number, since it uses less digits than its factorization.

132946814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6081 (or 6070 counting only the distinct ones).

The product of its digits is 41472, while the sum is 38.

The square root of 132946814 is about 11530.2564585529. The cubic root of 132946814 is about 510.3788214558.

The spelling of 132946814 in words is "one hundred thirty-two million, nine hundred forty-six thousand, eight hundred fourteen".

Divisors: 1 2 7 11 13 14 22 26 77 91 121 143 154 182 242 286 847 1001 1573 1694 2002 3146 6037 11011 12074 22022 42259 66407 78481 84518 132814 156962 464849 549367 730477 863291 929698 1098734 1460954 1726582 5113339 6043037 9496201 10226678 12086074 18992402 66473407 132946814