Search a number
-
+
121453304 = 237171131129
BaseRepresentation
bin1110011110100…
…11101011111000
322110112110121112
413033103223320
5222043001204
620015055452
73003223160
oct717235370
9273473545
10121453304
1162614735
1234811588
131c21557b
14121b75a0
15a9e126e
hex73d3af8

121453304 has 64 divisors (see below), whose sum is σ = 278251200. Its totient is φ = 48513024.

The previous prime is 121453303. The next prime is 121453309. The reversal of 121453304 is 403354121.

It is a self number, because there is not a number n which added to its sum of digits gives 121453304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121453303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107012 + ... + 108140.

It is an arithmetic number, because the mean of its divisors is an integer number (4347675).

Almost surely, 2121453304 is an apocalyptic number.

121453304 is a gapful number since it is divisible by the number (14) 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 121453304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139125600).

121453304 is an abundant number, since it is smaller than the sum of its proper divisors (156797896).

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

121453304 is a wasteful number, since it uses less digits than its factorization.

121453304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 121453304 is about 11020.5854653916. The cubic root of 121453304 is about 495.2256278478.

The spelling of 121453304 in words is "one hundred twenty-one million, four hundred fifty-three thousand, three hundred four".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 113 119 136 226 238 452 476 791 904 952 1129 1582 1921 2258 3164 3842 4516 6328 7684 7903 9032 13447 15368 15806 19193 26894 31612 38386 53788 63224 76772 107576 127577 134351 153544 255154 268702 510308 537404 893039 1020616 1074808 1786078 2168809 3572156 4337618 7144312 8675236 15181663 17350472 30363326 60726652 121453304