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106035748 = 22713319397
BaseRepresentation
bin1100101000111…
…11101000100100
321101112011200221
412110133220210
5204121120443
614304414124
72425201060
oct624375044
9241464627
10106035748
1154944255
122b617344
1318c77b60
1410122aa0
159497eed
hex651fa24

106035748 has 48 divisors (see below), whose sum is σ = 235777024. Its totient is φ = 40590720.

The previous prime is 106035739. The next prime is 106035767. The reversal of 106035748 is 847530601.

It is a super-2 number, since 2×1060357482 = 22487159707839008, which contains 22 as substring.

It is an unprimeable number.

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, 6586 + ... + 15982.

Almost surely, 2106035748 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106035748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117888512).

106035748 is an abundant number, since it is smaller than the sum of its proper divisors (129741276).

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

106035748 is a wasteful number, since it uses less digits than its factorization.

106035748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9452 (or 9450 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 106035748 is about 10297.3660709912. The cubic root of 106035748 is about 473.3155449684.

The spelling of 106035748 in words is "one hundred six million, thirty-five thousand, seven hundred forty-eight".

Divisors: 1 2 4 7 13 14 26 28 31 52 62 91 124 182 217 364 403 434 806 868 1612 2821 5642 9397 11284 18794 37588 65779 122161 131558 244322 263116 291307 488644 582614 855127 1165228 1710254 2039149 3420508 3786991 4078298 7573982 8156596 15147964 26508937 53017874 106035748