Search a number
-
+
107894616 = 233192941199
BaseRepresentation
bin1100110111001…
…01011101011000
321112000121120220
412123211131120
5210110111431
614412320040
72450042364
oct633453530
9245017526
10107894616
11559a3905
1230173020
1319478c8b
14104882a4
159713b96
hex66e5758

107894616 has 128 divisors (see below), whose sum is σ = 302400000. Its totient is φ = 31933440.

The previous prime is 107894603. The next prime is 107894617. The reversal of 107894616 is 616498701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107894617) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 542085 + ... + 542283.

It is an arithmetic number, because the mean of its divisors is an integer number (2362500).

Almost surely, 2107894616 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 107894616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151200000).

107894616 is an abundant number, since it is smaller than the sum of its proper divisors (194505384).

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

107894616 is a wasteful number, since it uses less digits than its factorization.

107894616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 107894616 is about 10387.2333178763. The cubic root of 107894616 is about 476.0653701150.

The spelling of 107894616 in words is "one hundred seven million, eight hundred ninety-four thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 19 24 29 38 41 57 58 76 82 87 114 116 123 152 164 174 199 228 232 246 328 348 398 456 492 551 597 696 779 796 984 1102 1189 1194 1558 1592 1653 2204 2337 2378 2388 3116 3306 3567 3781 4408 4674 4756 4776 5771 6232 6612 7134 7562 8159 9348 9512 11343 11542 13224 14268 15124 16318 17313 18696 22591 22686 23084 24477 28536 30248 32636 34626 45182 45372 46168 48954 65272 67773 69252 90364 90744 97908 109649 135546 138504 155021 180728 195816 219298 236611 271092 310042 328947 438596 465063 473222 542184 620084 657894 709833 877192 930126 946444 1240168 1315788 1419666 1860252 1892888 2631576 2839332 3720504 4495609 5678664 8991218 13486827 17982436 26973654 35964872 53947308 107894616