Search a number
-
+
109182976 = 2177217
BaseRepresentation
bin1101000001000…
…00000000000000
321121110001212221
412200200000000
5210422323401
614500100424
72464016500
oct640400000
9247401787
10109182976
11566a3871
1230694714
131980a516
1410701a00
1598ba7a1
hex6820000

109182976 has 108 divisors (see below), whose sum is σ = 268958718. Its totient is φ = 44040192.

The previous prime is 109182947. The next prime is 109182991. The reversal of 109182976 is 679281901.

It can be written as a sum of positive squares in only one way, i.e., 80281600 + 28901376 = 8960^2 + 5376^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6422520 + ... + 6422536.

Almost surely, 2109182976 is an apocalyptic number.

109182976 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 109182976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134479359).

109182976 is an abundant number, since it is smaller than the sum of its proper divisors (159775742).

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

109182976 is an frugal number, since it uses more digits than its factorization.

109182976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 43.

The square root of 109182976 is about 10449.0657955628. The cubic root of 109182976 is about 477.9527622653.

The spelling of 109182976 in words is "one hundred nine million, one hundred eighty-two thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 64 68 98 112 119 128 136 196 224 238 256 272 392 448 476 512 544 784 833 896 952 1024 1088 1568 1666 1792 1904 2048 2176 3136 3332 3584 3808 4096 4352 6272 6664 7168 7616 8192 8704 12544 13328 14336 15232 16384 17408 25088 26656 28672 30464 32768 34816 50176 53312 57344 60928 65536 69632 100352 106624 114688 121856 131072 139264 200704 213248 229376 243712 278528 401408 426496 458752 487424 557056 802816 852992 917504 974848 1114112 1605632 1705984 1949696 2228224 3211264 3411968 3899392 6422528 6823936 7798784 13647872 15597568 27295744 54591488 109182976