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12472440 = 2335234519
BaseRepresentation
bin101111100101…
…000001111000
3212110122222020
4233211001320
511143104230
61123154440
7211004541
oct57450170
925418866
1012472440
117049802
124215a20
132779056
1419294c8
151165810
hexbe5078

12472440 has 64 divisors (see below), whose sum is σ = 39052800. Its totient is φ = 3180672.

The previous prime is 12472433. The next prime is 12472469. The reversal of 12472440 is 4427421.

12472440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 12472440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 501 + ... + 5019.

It is an arithmetic number, because the mean of its divisors is an integer number (610200).

Almost surely, 212472440 is an apocalyptic number.

12472440 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 12472440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19526400).

12472440 is an abundant number, since it is smaller than the sum of its proper divisors (26580360).

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

12472440 is a wasteful number, since it uses less digits than its factorization.

12472440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4556 (or 4552 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 12472440 is about 3531.6341826412. The cubic root of 12472440 is about 231.9087532568.

Adding to 12472440 its reverse (4427421), we get a palindrome (16899861).

The spelling of 12472440 in words is "twelve million, four hundred seventy-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 4519 9038 13557 18076 22595 27114 36152 45190 54228 67785 90380 103937 108456 135570 180760 207874 271140 311811 415748 519685 542280 623622 831496 1039370 1247244 1559055 2078740 2494488 3118110 4157480 6236220 12472440