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126670248 = 2332712349
BaseRepresentation
bin1111000110011…
…01010110101000
322211100111220200
413203031112220
5224411421443
620322552200
73065452005
oct743152650
9284314820
10126670248
1165558261
1236508660
1320321013
1412b748ac
15b1c1dd3
hex78cd5a8

126670248 has 72 divisors (see below), whose sum is σ = 348962250. Its totient is φ = 41509440.

The previous prime is 126670237. The next prime is 126670273. The reversal of 126670248 is 842076621.

It can be written as a sum of positive squares in only one way, i.e., 96000804 + 30669444 = 9798^2 + 5538^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 362778 + ... + 363126.

Almost surely, 2126670248 is an apocalyptic number.

126670248 is a gapful number since it is divisible by the number (18) 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 126670248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174481125).

126670248 is an abundant number, since it is smaller than the sum of its proper divisors (222292002).

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

126670248 is a wasteful number, since it uses less digits than its factorization.

126670248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 126670248 is about 11254.7877812067. The cubic root of 126670248 is about 502.2171512817.

The spelling of 126670248 in words is "one hundred twenty-six million, six hundred seventy thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 284 349 426 568 639 698 852 1047 1278 1396 1704 2094 2556 2792 3141 4188 5041 5112 6282 8376 10082 12564 15123 20164 24779 25128 30246 40328 45369 49558 60492 74337 90738 99116 120984 148674 181476 198232 223011 297348 362952 446022 594696 892044 1759309 1784088 3518618 5277927 7037236 10555854 14074472 15833781 21111708 31667562 42223416 63335124 126670248