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106733704 = 237111631063
BaseRepresentation
bin1100101110010…
…10000010001000
321102211122010011
412113022002020
5204310434304
614331401304
72434135660
oct627120210
9242748104
10106733704
1155280680
122b8b3234
131916074c
14102651a0
159584c04
hex65ca088

106733704 has 64 divisors (see below), whose sum is σ = 251274240. Its totient is φ = 41290560.

The previous prime is 106733699. The next prime is 106733719. The reversal of 106733704 is 407337601.

It is a super-2 number, since 2×1067337042 = 22784167139119232, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99877 + ... + 100939.

It is an arithmetic number, because the mean of its divisors is an integer number (3926160).

Almost surely, 2106733704 is an apocalyptic number.

106733704 is a gapful number since it is divisible by the number (14) 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 106733704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125637120).

106733704 is an abundant number, since it is smaller than the sum of its proper divisors (144540536).

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

106733704 is a wasteful number, since it uses less digits than its factorization.

106733704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 31.

The square root of 106733704 is about 10331.2005110732. The cubic root of 106733704 is about 474.3517717267.

The spelling of 106733704 in words is "one hundred six million, seven hundred thirty-three thousand, seven hundred four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 163 308 326 616 652 1063 1141 1304 1793 2126 2282 3586 4252 4564 7172 7441 8504 9128 11693 12551 14344 14882 23386 25102 29764 46772 50204 59528 81851 93544 100408 163702 173269 327404 346538 654808 693076 1212883 1386152 1905959 2425766 3811918 4851532 7623836 9703064 13341713 15247672 26683426 53366852 106733704