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109168992 = 2533294357
BaseRepresentation
bin1101000000111…
…00100101100000
321121102100201000
412200130211200
5210421401432
614455512000
72463630642
oct640344540
9247370630
10109168992
1156694309
1230688600
131980404a
14106da892
1598b657c
hex681c960

109168992 has 96 divisors (see below), whose sum is σ = 329464800. Its totient is φ = 35126784.

The previous prime is 109168991. The next prime is 109169023. The reversal of 109168992 is 299861901.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109168991) 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, 22878 + ... + 27234.

It is an arithmetic number, because the mean of its divisors is an integer number (3431925).

Almost surely, 2109168992 is an apocalyptic number.

109168992 is a gapful number since it is divisible by the number (12) 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 109168992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164732400).

109168992 is an abundant number, since it is smaller than the sum of its proper divisors (220295808).

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

109168992 is a wasteful number, since it uses less digits than its factorization.

109168992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4405 (or 4391 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The square root of 109168992 is about 10448.3966234059. The cubic root of 109168992 is about 477.9323562245.

The spelling of 109168992 in words is "one hundred nine million, one hundred sixty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 87 96 108 116 144 174 216 232 261 288 348 432 464 522 696 783 864 928 1044 1392 1566 2088 2784 3132 4176 4357 6264 8352 8714 12528 13071 17428 25056 26142 34856 39213 52284 69712 78426 104568 117639 126353 139424 156852 209136 235278 252706 313704 379059 418272 470556 505412 627408 758118 941112 1010824 1137177 1254816 1516236 1882224 2021648 2274354 3032472 3411531 3764448 4043296 4548708 6064944 6823062 9097416 12129888 13646124 18194832 27292248 36389664 54584496 109168992