[go: up one dir, main page]

Search a number
-
+
121449120 = 25351319463
BaseRepresentation
bin1110011110100…
…10101010100000
322110112020212120
413033102222200
5222042332440
620015024240
73003205032
oct717225240
9273466776
10121449120
1162611581
123480b080
131c2136b0
14121b5c52
15a9dedd0
hex73d2aa0

121449120 has 96 divisors (see below), whose sum is σ = 412013952. Its totient is φ = 29893632.

The previous prime is 121449073. The next prime is 121449137. The reversal of 121449120 is 21944121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3492 + ... + 15971.

It is an arithmetic number, because the mean of its divisors is an integer number (4291812).

Almost surely, 2121449120 is an apocalyptic number.

121449120 is a gapful number since it is divisible by the number (10) 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 121449120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206006976).

121449120 is an abundant number, since it is smaller than the sum of its proper divisors (290564832).

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

121449120 is a wasteful number, since it uses less digits than its factorization.

121449120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19494 (or 19486 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 121449120 is about 11020.3956371811. The cubic root of 121449120 is about 495.2199410317.

The spelling of 121449120 in words is "one hundred twenty-one million, four hundred forty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 19463 38926 58389 77852 97315 116778 155704 194630 233556 253019 291945 311408 389260 467112 506038 583890 622816 759057 778520 934224 1012076 1167780 1265095 1518114 1557040 1868448 2024152 2335560 2530190 3036228 3114080 3795285 4048304 4671120 5060380 6072456 7590570 8096608 9342240 10120760 12144912 15181140 20241520 24289824 30362280 40483040 60724560 121449120