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106672748 = 227132271291
BaseRepresentation
bin1100101101110…
…11001001101100
321102201112111112
412112323021230
5204302011443
614330211152
72433463160
oct626731154
9242645445
10106672748
11552398a6
122b883ab8
131913ba90
141024aca0
159571b18
hex65bb26c

106672748 has 48 divisors (see below), whose sum is σ = 230947584. Its totient is φ = 41981760.

The previous prime is 106672711. The next prime is 106672763. The reversal of 106672748 is 847276601.

It is a super-2 number, since 2×1066727482 = 22758150331743008, which contains 22 as substring.

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, 81983 + ... + 83273.

It is an arithmetic number, because the mean of its divisors is an integer number (4811408).

Almost surely, 2106672748 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 106672748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115473792).

106672748 is an abundant number, since it is smaller than the sum of its proper divisors (124274836).

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

106672748 is a wasteful number, since it uses less digits than its factorization.

106672748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 41.

The square root of 106672748 is about 10328.2499969743. The cubic root of 106672748 is about 474.2614531998.

The spelling of 106672748 in words is "one hundred six million, six hundred seventy-two thousand, seven hundred forty-eight".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 227 364 454 908 1291 1589 2582 2951 3178 5164 5902 6356 9037 11804 16783 18074 20657 33566 36148 41314 67132 82628 117481 234962 293057 469924 586114 1172228 2051399 3809741 4102798 7619482 8205596 15238964 26668187 53336374 106672748