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109065936 = 24373137283
BaseRepresentation
bin1101000000000…
…11011011010000
321121020010100010
412200003123100
5210410102221
614453354520
72463021330
oct640033320
9247203303
10109065936
1156623941
1230638a40
1319799175
14106b10c0
159895c76
hex68036d0

109065936 has 160 divisors (see below), whose sum is σ = 342581248. Its totient is φ = 29237760.

The previous prime is 109065923. The next prime is 109065937. The reversal of 109065936 is 639560901.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 109065894 and 109065903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109065937) 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, 385251 + ... + 385533.

Almost surely, 2109065936 is an apocalyptic number.

109065936 is a gapful number since it is divisible by the number (16) 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 109065936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171290624).

109065936 is an abundant number, since it is smaller than the sum of its proper divisors (233515312).

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

109065936 is a wasteful number, since it uses less digits than its factorization.

109065936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 39.

The square root of 109065936 is about 10443.4637932058. The cubic root of 109065936 is about 477.7819188071.

The spelling of 109065936 in words is "one hundred nine million, sixty-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 37 42 48 56 62 74 84 93 111 112 124 148 168 186 217 222 248 259 283 296 336 372 434 444 496 518 566 592 651 744 777 849 868 888 1036 1132 1147 1302 1488 1554 1698 1736 1776 1981 2072 2264 2294 2604 3108 3396 3441 3472 3962 4144 4528 4588 5208 5943 6216 6792 6882 7924 8029 8773 9176 10416 10471 11886 12432 13584 13764 15848 16058 17546 18352 20942 23772 24087 26319 27528 31413 31696 32116 35092 41884 47544 48174 52638 55056 61411 62826 64232 70184 73297 83768 95088 96348 105276 122822 125652 128464 140368 146594 167536 184233 192696 210552 219891 245644 251304 293188 324601 368466 385392 421104 439782 491288 502608 586376 649202 736932 879564 973803 982576 1172752 1298404 1473864 1759128 1947606 2272207 2596808 2947728 3518256 3895212 4544414 5193616 6816621 7790424 9088828 13633242 15580848 18177656 27266484 36355312 54532968 109065936