[go: up one dir, main page]

Search a number
-
+
12282340 = 2257283151
BaseRepresentation
bin101110110110…
…100111100100
3212010000012111
4232312213210
511121013330
61115130404
7206253400
oct56664744
925100174
1012282340
116a299a4
124143a04
132710675
1418ba100
15112932a
hexbb69e4

12282340 has 72 divisors (see below), whose sum is σ = 30566592. Its totient is φ = 4132800.

The previous prime is 12282337. The next prime is 12282343. The reversal of 12282340 is 4328221.

It is an interprime number because it is at equal distance from previous prime (12282337) and next prime (12282343).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12282343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81265 + ... + 81415.

It is an arithmetic number, because the mean of its divisors is an integer number (424536).

Almost surely, 212282340 is an apocalyptic number.

12282340 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 12282340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15283296).

12282340 is an abundant number, since it is smaller than the sum of its proper divisors (18284252).

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

12282340 is a wasteful number, since it uses less digits than its factorization.

12282340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 12282340 is about 3504.6169548183. The cubic root of 12282340 is about 230.7244955450.

The spelling of 12282340 in words is "twelve million, two hundred eighty-two thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 83 98 140 151 166 196 245 302 332 415 490 581 604 755 830 980 1057 1162 1510 1660 2114 2324 2905 3020 4067 4228 5285 5810 7399 8134 10570 11620 12533 14798 16268 20335 21140 25066 29596 36995 40670 50132 62665 73990 81340 87731 125330 147980 175462 250660 350924 438655 614117 877310 1228234 1754620 2456468 3070585 6141170 12282340