Search a number
-
+
107788956 = 223111934231
BaseRepresentation
bin1100110110010…
…11101010011100
321111211020122120
412123023222130
5210043221311
614410142540
72446122342
oct633135234
9244736576
10107788956
1155931490
1230121a50
131943cb62
141045b992
1596e2706
hex66cba9c

107788956 has 48 divisors (see below), whose sum is σ = 275858688. Its totient is φ = 32486400.

The previous prime is 107788951. The next prime is 107788963. The reversal of 107788956 is 659887701.

It is a junction number, because it is equal to n+sod(n) for n = 107788899 and 107788908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107788951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23361 + ... + 27591.

It is an arithmetic number, because the mean of its divisors is an integer number (5747056).

Almost surely, 2107788956 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 107788956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137929344).

107788956 is an abundant number, since it is smaller than the sum of its proper divisors (168069732).

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

107788956 is a wasteful number, since it uses less digits than its factorization.

107788956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4442 (or 4440 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 51.

The square root of 107788956 is about 10382.1460209342. The cubic root of 107788956 is about 475.9099175151.

The spelling of 107788956 in words is "one hundred seven million, seven hundred eighty-eight thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 193 386 579 772 1158 2123 2316 4231 4246 6369 8462 8492 12693 12738 16924 25386 25476 46541 50772 93082 139623 186164 279246 558492 816583 1633166 2449749 3266332 4899498 8982413 9798996 17964826 26947239 35929652 53894478 107788956