Search a number
-
+
121668096 = 2931119379
BaseRepresentation
bin1110100000010…
…00001000000000
322110221101020210
413100020020000
5222121334341
620023434120
73005106324
oct720101000
9273841223
10121668096
1162751050
12348b5940
131c28c274
1412231984
15aa34c16
hex7408200

121668096 has 160 divisors (see below), whose sum is σ = 373190400. Its totient is φ = 34836480.

The previous prime is 121668083. The next prime is 121668097. The reversal of 121668096 is 690866121.

It is not an unprimeable number, because it can be changed into a prime (121668097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 320835 + ... + 321213.

It is an arithmetic number, because the mean of its divisors is an integer number (2332440).

Almost surely, 2121668096 is an apocalyptic number.

121668096 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 121668096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186595200).

121668096 is an abundant number, since it is smaller than the sum of its proper divisors (251522304).

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

121668096 is a wasteful number, since it uses less digits than its factorization.

121668096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 121668096 is about 11030.3261964459. The cubic root of 121668096 is about 495.5173939152.

The spelling of 121668096 in words is "one hundred twenty-one million, six hundred sixty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 114 128 132 152 176 192 209 228 256 264 304 352 379 384 418 456 512 528 608 627 704 758 768 836 912 1056 1137 1216 1254 1408 1516 1536 1672 1824 2112 2274 2432 2508 2816 3032 3344 3648 4169 4224 4548 4864 5016 5632 6064 6688 7201 7296 8338 8448 9096 9728 10032 12128 12507 13376 14402 14592 16676 16896 18192 20064 21603 24256 25014 26752 28804 29184 33352 36384 40128 43206 48512 50028 53504 57608 66704 72768 79211 80256 86412 97024 100056 107008 115216 133408 145536 158422 160512 172824 194048 200112 230432 237633 266816 291072 316844 321024 345648 400224 460864 475266 533632 582144 633688 691296 800448 921728 950532 1067264 1267376 1382592 1600896 1843456 1901064 2134528 2534752 2765184 3201792 3686912 3802128 5069504 5530368 6403584 7604256 10139008 11060736 15208512 20278016 30417024 40556032 60834048 121668096