Search a number
-
+
107793126 = 23371991433
BaseRepresentation
bin1100110110011…
…00101011100110
321111211110101000
412123030223212
5210043340001
614410214130
72446140450
oct633145346
9244743330
10107793126
1155934631
1230124346
1319441a1c
141045d2d0
1596e3a86
hex66ccae6

107793126 has 64 divisors (see below), whose sum is σ = 275328000. Its totient is φ = 30621888.

The previous prime is 107793097. The next prime is 107793143. The reversal of 107793126 is 621397701.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74506 + ... + 75938.

It is an arithmetic number, because the mean of its divisors is an integer number (4302000).

Almost surely, 2107793126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107793126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137664000).

107793126 is an abundant number, since it is smaller than the sum of its proper divisors (167534874).

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

107793126 is a wasteful number, since it uses less digits than its factorization.

107793126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 107793126 is about 10382.3468445241. The cubic root of 107793126 is about 475.9160545655.

The spelling of 107793126 in words is "one hundred seven million, seven hundred ninety-three thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 199 378 398 597 1194 1393 1433 1791 2786 2866 3582 4179 4299 5373 8358 8598 10031 10746 12537 12897 20062 25074 25794 30093 37611 38691 60186 75222 77382 90279 180558 270837 285167 541674 570334 855501 1711002 1996169 2566503 3992338 5133006 5988507 7699509 11977014 15399018 17965521 35931042 53896563 107793126