Search a number
-
+
109097472 = 293112587
BaseRepresentation
bin1101000000010…
…11001000000000
321121021201121010
412200023020000
5210412104342
614454200520
72463212301
oct640131000
9247251533
10109097472
1156645600
1230653140
13197aa623
14106bc7a8
1598a029c
hex680b200

109097472 has 120 divisors (see below), whose sum is σ = 320010768. Its totient is φ = 33003520.

The previous prime is 109097467. The next prime is 109097477. The reversal of 109097472 is 274790901.

It is an interprime number because it is at equal distance from previous prime (109097467) and next prime (109097477).

It is a self number, because there is not a number n which added to its sum of digits gives 109097472.

It is not an unprimeable number, because it can be changed into a prime (109097477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 185563 + ... + 186149.

Almost surely, 2109097472 is an apocalyptic number.

109097472 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 109097472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160005384).

109097472 is an abundant number, since it is smaller than the sum of its proper divisors (210913296).

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

109097472 is an equidigital number, since it uses as much as digits as its factorization.

109097472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 39.

The square root of 109097472 is about 10444.9735279703. The cubic root of 109097472 is about 477.8279639769.

It can be divided in two parts, 10909 and 7472, that added together give a palindrome (18381).

The spelling of 109097472 in words is "one hundred nine million, ninety-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 256 264 352 363 384 484 512 528 587 704 726 768 968 1056 1174 1408 1452 1536 1761 1936 2112 2348 2816 2904 3522 3872 4224 4696 5632 5808 6457 7044 7744 8448 9392 11616 12914 14088 15488 16896 18784 19371 23232 25828 28176 30976 37568 38742 46464 51656 56352 61952 71027 75136 77484 92928 103312 112704 142054 150272 154968 185856 206624 213081 225408 284108 300544 309936 413248 426162 450816 568216 619872 826496 852324 901632 1136432 1239744 1652992 1704648 2272864 2479488 3305984 3409296 4545728 4958976 6818592 9091456 9917952 13637184 18182912 27274368 36365824 54548736 109097472