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109804896 = 2538523
BaseRepresentation
bin1101000101101…
…11110101100000
321122121200000000
412202313311200
5211102224041
614521300000
72502216615
oct642676540
9248550000
10109804896
1156a89053
1230934600
1319997616
141082450c
15998ebb6
hex68b7d60

109804896 has 108 divisors (see below), whose sum is σ = 324871092. Its totient is φ = 36531648.

The previous prime is 109804879. The next prime is 109804897. The reversal of 109804896 is 698408901.

It is a tau number, because it is divible by the number of its divisors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109804897) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 209691 + ... + 210213.

Almost surely, 2109804896 is an apocalyptic number.

109804896 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 109804896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162435546).

109804896 is an abundant number, since it is smaller than the sum of its proper divisors (215066196).

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

109804896 is an frugal number, since it uses more digits than its factorization.

109804896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 109804896 is about 10478.7831354600. The cubic root of 109804896 is about 478.8585377013.

It can be divided in two parts, 10980 and 4896, that added together give a square (15876 = 1262).

The spelling of 109804896 in words is "one hundred nine million, eight hundred four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 523 648 729 864 972 1046 1296 1458 1569 1944 2092 2187 2592 2916 3138 3888 4184 4374 4707 5832 6276 6561 7776 8368 8748 9414 11664 12552 13122 14121 16736 17496 18828 23328 25104 26244 28242 34992 37656 42363 50208 52488 56484 69984 75312 84726 104976 112968 127089 150624 169452 209952 225936 254178 338904 381267 451872 508356 677808 762534 1016712 1143801 1355616 1525068 2033424 2287602 3050136 3431403 4066848 4575204 6100272 6862806 9150408 12200544 13725612 18300816 27451224 36601632 54902448 109804896