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12423540 = 2235792621
BaseRepresentation
bin101111011001…
…000101110100
3212101011220010
4233121011310
511140023130
61122140220
7210412143
oct57310564
925334803
1012423540
117015a98
1241b1670
13275ca0c
14191575a
1511560b0
hexbd9174

12423540 has 48 divisors (see below), whose sum is σ = 35239680. Its totient is φ = 3269760.

The previous prime is 12423539. The next prime is 12423563. The reversal of 12423540 is 4532421.

It is a super-3 number, since 3×124235403 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3430 + ... + 6050.

It is an arithmetic number, because the mean of its divisors is an integer number (734160).

Almost surely, 212423540 is an apocalyptic number.

12423540 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 12423540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17619840).

12423540 is an abundant number, since it is smaller than the sum of its proper divisors (22816140).

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

12423540 is a wasteful number, since it uses less digits than its factorization.

12423540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2712 (or 2710 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 12423540 is about 3524.7042429117. The cubic root of 12423540 is about 231.6052790669.

Adding to 12423540 its reverse (4532421), we get a palindrome (16955961).

The spelling of 12423540 in words is "twelve million, four hundred twenty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 316 395 474 790 948 1185 1580 2370 2621 4740 5242 7863 10484 13105 15726 26210 31452 39315 52420 78630 157260 207059 414118 621177 828236 1035295 1242354 2070590 2484708 3105885 4141180 6211770 12423540