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206713248 = 2537307609
BaseRepresentation
bin11000101001000…
…11000110100000
3112101222010021020
430110203012200
5410404310443
632302325440
75060014350
oct1424430640
9471863236
10206713248
11a67587a5
1259289880
1333a97b41
141d64cb60
1513233583
hexc5231a0

206713248 has 48 divisors (see below), whose sum is σ = 620141760. Its totient is φ = 59060736.

The previous prime is 206713223. The next prime is 206713249. The reversal of 206713248 is 842317602.

206713248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (206713249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153133 + ... + 154476.

It is an arithmetic number, because the mean of its divisors is an integer number (12919620).

Almost surely, 2206713248 is an apocalyptic number.

206713248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

206713248 is an abundant number, since it is smaller than the sum of its proper divisors (413428512).

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

206713248 is a wasteful number, since it uses less digits than its factorization.

206713248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307629 (or 307621 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 206713248 is about 14377.5257954907. The cubic root of 206713248 is about 591.2748913740.

The spelling of 206713248 in words is "two hundred six million, seven hundred thirteen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 307609 615218 922827 1230436 1845654 2153263 2460872 3691308 4306526 4921744 6459789 7382616 8613052 9843488 12919578 14765232 17226104 25839156 29530464 34452208 51678312 68904416 103356624 206713248