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12243480 = 2335257397
BaseRepresentation
bin101110101101…
…001000011000
3212001000220020
4232231020120
511113242410
61114230440
7206032164
oct56551030
925030806
1012243480
116a02787
124125420
1326c8a82
1418a9ca4
15111ca70
hexbad218

12243480 has 64 divisors (see below), whose sum is σ = 36966240. Its totient is φ = 3244032.

The previous prime is 12243457. The next prime is 12243541. The reversal of 12243480 is 8434221.

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 12243480.

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, 30642 + ... + 31038.

Almost surely, 212243480 is an apocalyptic number.

12243480 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 12243480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18483120).

12243480 is an abundant number, since it is smaller than the sum of its proper divisors (24722760).

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

12243480 is a wasteful number, since it uses less digits than its factorization.

12243480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 12243480 is about 3499.0684474586. The cubic root of 12243480 is about 230.4809093250.

The spelling of 12243480 in words is "twelve million, two hundred forty-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 257 397 514 771 794 1028 1191 1285 1542 1588 1985 2056 2382 2570 3084 3176 3855 3970 4764 5140 5955 6168 7710 7940 9528 10280 11910 15420 15880 23820 30840 47640 102029 204058 306087 408116 510145 612174 816232 1020290 1224348 1530435 2040580 2448696 3060870 4081160 6121740 12243480