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12291360 = 253529883
BaseRepresentation
bin101110111000…
…110100100000
3212010110120120
4232320310200
511121310420
61115240240
7206321604
oct56706440
925113516
1012291360
116a35754
124149080
1327147c3
1418bd504
15112bd40
hexbb8d20

12291360 has 96 divisors (see below), whose sum is σ = 40098240. Its totient is φ = 3161088.

The previous prime is 12291343. The next prime is 12291379. The reversal of 12291360 is 6319221.

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 a self number, because there is not a number n which added to its sum of digits gives 12291360.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13479 + ... + 14361.

It is an arithmetic number, because the mean of its divisors is an integer number (417690).

Almost surely, 212291360 is an apocalyptic number.

12291360 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 12291360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20049120).

12291360 is an abundant number, since it is smaller than the sum of its proper divisors (27806880).

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

12291360 is a wasteful number, since it uses less digits than its factorization.

12291360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 12291360 is about 3505.9035925136. The cubic root of 12291360 is about 230.7809621387.

The spelling of 12291360 in words is "twelve million, two hundred ninety-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 80 87 96 116 120 145 160 174 232 240 290 348 435 464 480 580 696 870 883 928 1160 1392 1740 1766 2320 2649 2784 3480 3532 4415 4640 5298 6960 7064 8830 10596 13245 13920 14128 17660 21192 25607 26490 28256 35320 42384 51214 52980 70640 76821 84768 102428 105960 128035 141280 153642 204856 211920 256070 307284 384105 409712 423840 512140 614568 768210 819424 1024280 1229136 1536420 2048560 2458272 3072840 4097120 6145680 12291360