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126945 = 32571331
BaseRepresentation
bin11110111111100001
320110010200
4132333201
513030240
62415413
71036050
oct367741
9213120
10126945
1187415
1261569
1345a20
1434397
1527930
hex1efe1

126945 has 48 divisors (see below), whose sum is σ = 279552. Its totient is φ = 51840.

The previous prime is 126943. The next prime is 126949. The reversal of 126945 is 549621.

126945 is nontrivially palindromic in base 16.

It is not a de Polignac number, because 126945 - 21 = 126943 is a prime.

It is a super-2 number, since 2×1269452 = 32230066050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (126943) 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, 4080 + ... + 4110.

It is an arithmetic number, because the mean of its divisors is an integer number (5824).

2126945 is an apocalyptic number.

126945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

126945 is an abundant number, since it is smaller than the sum of its proper divisors (152607).

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

126945 is a wasteful number, since it uses less digits than its factorization.

126945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 59 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 126945 is about 356.2934184068. The cubic root of 126945 is about 50.2579997660.

The spelling of 126945 in words is "one hundred twenty-six thousand, nine hundred forty-five".

Divisors: 1 3 5 7 9 13 15 21 31 35 39 45 63 65 91 93 105 117 155 195 217 273 279 315 403 455 465 585 651 819 1085 1209 1365 1395 1953 2015 2821 3255 3627 4095 6045 8463 9765 14105 18135 25389 42315 126945