Search a number
-
+
109495296 = 210321092
BaseRepresentation
bin1101000011011…
…00010000000000
321122000221022100
412201230100000
5211012322141
614510510400
72466460161
oct641542000
9248027270
10109495296
1156897489
1230805400
13198b9721
1410783768
15992d0b6
hex686c400

109495296 has 99 divisors (see below), whose sum is σ = 319092501. Its totient is φ = 36163584.

The previous prime is 109495291. The next prime is 109495301. The reversal of 109495296 is 692594901.

The square root of 109495296 is 10464.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (109495291) and next prime (109495301).

It can be written as a sum of positive squares in only one way, i.e., 76317696 + 33177600 = 8736^2 + 5760^2 .

It is a super-2 number, since 2×1094952962 = 23978439692255232, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (109495291) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1004490 + ... + 1004598.

Almost surely, 2109495296 is an apocalyptic number.

109495296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

109495296 is the 10464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109495296

109495296 is an abundant number, since it is smaller than the sum of its proper divisors (209597205).

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

109495296 is an equidigital number, since it uses as much as digits as its factorization.

109495296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The cubic root of 109495296 is about 478.4080594310.

The spelling of 109495296 in words is "one hundred nine million, four hundred ninety-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 109 128 144 192 218 256 288 327 384 436 512 576 654 768 872 981 1024 1152 1308 1536 1744 1962 2304 2616 3072 3488 3924 4608 5232 6976 7848 9216 10464 11881 13952 15696 20928 23762 27904 31392 35643 41856 47524 55808 62784 71286 83712 95048 106929 111616 125568 142572 167424 190096 213858 251136 285144 334848 380192 427716 502272 570288 760384 855432 1004544 1140576 1520768 1710864 2281152 3041536 3421728 4562304 6083072 6843456 9124608 12166144 13686912 18249216 27373824 36498432 54747648 109495296