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12423040 = 27574759
BaseRepresentation
bin101111011000…
…111110000000
3212101011012121
4233120332000
511140014130
61122134024
7210410530
oct57307600
925334177
1012423040
117015683
1241b1314
13275c716
1419154c0
151155d7a
hexbd8f80

12423040 has 128 divisors (see below), whose sum is σ = 35251200. Its totient is φ = 4098048.

The previous prime is 12423031. The next prime is 12423053. The reversal of 12423040 is 4032421.

12423040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 210531 + ... + 210589.

It is an arithmetic number, because the mean of its divisors is an integer number (275400).

Almost surely, 212423040 is an apocalyptic number.

12423040 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 12423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17625600).

12423040 is an abundant number, since it is smaller than the sum of its proper divisors (22828160).

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

12423040 is an equidigital number, since it uses as much as digits as its factorization.

12423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 12423040 is about 3524.6333142612. The cubic root of 12423040 is about 231.6021719494.

Adding to 12423040 its reverse (4032421), we get a palindrome (16455461).

The spelling of 12423040 in words is "twelve million, four hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 47 56 59 64 70 80 94 112 118 128 140 160 188 224 235 236 280 295 320 329 376 413 448 470 472 560 590 640 658 752 826 896 940 944 1120 1180 1316 1504 1645 1652 1880 1888 2065 2240 2360 2632 2773 3008 3290 3304 3760 3776 4130 4480 4720 5264 5546 6016 6580 6608 7520 7552 8260 9440 10528 11092 13160 13216 13865 15040 16520 18880 19411 21056 22184 26320 26432 27730 30080 33040 37760 38822 42112 44368 52640 52864 55460 66080 77644 88736 97055 105280 110920 132160 155288 177472 194110 210560 221840 264320 310576 354944 388220 443680 621152 776440 887360 1242304 1552880 1774720 2484608 3105760 6211520 12423040