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106726248 = 2334164701
BaseRepresentation
bin1100101110010…
…00001101101000
321102211020220000
412113020031220
5204310214443
614331303000
72434105146
oct627101550
9242736800
10106726248
1155276012
122b8aaa60
131915a235
1410262596
1595828d3
hex65c8368

106726248 has 40 divisors (see below), whose sum is σ = 298934130. Its totient is φ = 35575200.

The previous prime is 106726247. The next prime is 106726253. The reversal of 106726248 is 842627601.

It can be written as a sum of positive squares in only one way, i.e., 60186564 + 46539684 = 7758^2 + 6822^2 .

It is a super-2 number, since 2×1067262482 = 22780984024315008, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (106726247) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 81703 + ... + 82998.

Almost surely, 2106726248 is an apocalyptic number.

106726248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106726248 is an abundant number, since it is smaller than the sum of its proper divisors (192207882).

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

106726248 is a wasteful number, since it uses less digits than its factorization.

106726248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164719 (or 164706 counting only the distinct ones).

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

The square root of 106726248 is about 10330.8396560977. The cubic root of 106726248 is about 474.3407260150.

The spelling of 106726248 in words is "one hundred six million, seven hundred twenty-six thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 164701 329402 494103 658804 988206 1317608 1482309 1976412 2964618 3952824 4446927 5929236 8893854 11858472 13340781 17787708 26681562 35575416 53363124 106726248