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207083712 = 26311711381
BaseRepresentation
bin11000101011111…
…01100011000000
3112102122221110010
430111331203000
5411003134322
632314304520
75063116413
oct1425754300
9472587403
10207083712
11a6991070
1259428140
1333b97654
141d707b7a
15132a820c
hexc57d8c0

207083712 has 112 divisors (see below), whose sum is σ = 606576384. Its totient is φ = 61824000.

The previous prime is 207083707. The next prime is 207083719. The reversal of 207083712 is 217380702.

It is a self number, because there is not a number n which added to its sum of digits gives 207083712.

It is not an unprimeable number, because it can be changed into a prime (207083719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149262 + ... + 150642.

Almost surely, 2207083712 is an apocalyptic number.

207083712 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 207083712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303288192).

207083712 is an abundant number, since it is smaller than the sum of its proper divisors (399492672).

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

207083712 is a wasteful number, since it uses less digits than its factorization.

207083712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 207083712 is about 14390.4034689789. The cubic root of 207083712 is about 591.6279010595.

The spelling of 207083712 in words is "two hundred seven million, eighty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 71 88 96 132 142 176 192 213 264 284 352 426 528 568 704 781 852 1056 1136 1381 1562 1704 2112 2272 2343 2762 3124 3408 4143 4544 4686 5524 6248 6816 8286 9372 11048 12496 13632 15191 16572 18744 22096 24992 30382 33144 37488 44192 45573 49984 60764 66288 74976 88384 91146 98051 121528 132576 149952 182292 196102 243056 265152 294153 364584 392204 486112 588306 729168 784408 972224 1078561 1176612 1458336 1568816 2157122 2353224 2916672 3137632 3235683 4314244 4706448 6275264 6471366 8628488 9412896 12942732 17256976 18825792 25885464 34513952 51770928 69027904 103541856 207083712