Search a number
-
+
109797408 = 25327107509
BaseRepresentation
bin1101000101101…
…10000000100000
321122121021201200
412202312000200
5211102004113
614521201200
72502156030
oct642660040
9248537650
10109797408
1156a83466
1230930200
13199940a6
14108218c0
15998c873
hex68b6020

109797408 has 144 divisors (see below), whose sum is σ = 360884160. Its totient is φ = 31016448.

The previous prime is 109797383. The next prime is 109797421. The reversal of 109797408 is 804797901.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215458 + ... + 215966.

It is an arithmetic number, because the mean of its divisors is an integer number (2506140).

Almost surely, 2109797408 is an apocalyptic number.

109797408 is a gapful number since it is divisible by the number (18) 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 109797408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180442080).

109797408 is an abundant number, since it is smaller than the sum of its proper divisors (251086752).

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

109797408 is a wasteful number, since it uses less digits than its factorization.

109797408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 109797408 is about 10478.4258359736. The cubic root of 109797408 is about 478.8476524118.

The spelling of 109797408 in words is "one hundred nine million, seven hundred ninety-seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 107 112 126 144 168 214 224 252 288 321 336 428 504 509 642 672 749 856 963 1008 1018 1284 1498 1527 1712 1926 2016 2036 2247 2568 2996 3054 3424 3563 3852 4072 4494 4581 5136 5992 6108 6741 7126 7704 8144 8988 9162 10272 10689 11984 12216 13482 14252 15408 16288 17976 18324 21378 23968 24432 26964 28504 30816 32067 35952 36648 42756 48864 53928 54463 57008 64134 71904 73296 85512 107856 108926 114016 128268 146592 163389 171024 215712 217852 256536 326778 342048 381241 435704 490167 513072 653556 762482 871408 980334 1026144 1143723 1307112 1524964 1742816 1960668 2287446 2614224 3049928 3431169 3921336 4574892 5228448 6099856 6862338 7842672 9149784 12199712 13724676 15685344 18299568 27449352 36599136 54898704 109797408