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12423264 = 2537219139
BaseRepresentation
bin101111011001…
…000001100000
3212101011111220
4233121001200
511140021024
61122135040
7210411300
oct57310140
925334456
1012423264
117015867
1241b1480
13275c859
141915600
151155e79
hexbd9060

12423264 has 144 divisors (see below), whose sum is σ = 40219200. Its totient is φ = 3338496.

The previous prime is 12423263. The next prime is 12423347. The reversal of 12423264 is 46232421.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12423263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89307 + ... + 89445.

It is an arithmetic number, because the mean of its divisors is an integer number (279300).

Almost surely, 212423264 is an apocalyptic number.

12423264 is a gapful number since it is divisible by the number (14) 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 12423264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20109600).

12423264 is an abundant number, since it is smaller than the sum of its proper divisors (27795936).

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

12423264 is a wasteful number, since it uses less digits than its factorization.

12423264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 170 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 12423264 is about 3524.6650904731. The cubic root of 12423264 is about 231.6035639484.

Adding to 12423264 its reverse (46232421), we get a palindrome (58655685).

The spelling of 12423264 in words is "twelve million, four hundred twenty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 49 56 57 76 84 96 98 112 114 133 139 147 152 168 196 224 228 266 278 294 304 336 392 399 417 456 532 556 588 608 672 784 798 834 912 931 973 1064 1112 1176 1568 1596 1668 1824 1862 1946 2128 2224 2352 2641 2793 2919 3192 3336 3724 3892 4256 4448 4704 5282 5586 5838 6384 6672 6811 7448 7784 7923 10564 11172 11676 12768 13344 13622 14896 15568 15846 18487 20433 21128 22344 23352 27244 29792 31136 31692 36974 40866 42256 44688 46704 54488 55461 63384 73948 81732 84512 89376 93408 108976 110922 126768 129409 147896 163464 217952 221844 253536 258818 295792 326928 388227 443688 517636 591584 653856 776454 887376 1035272 1552908 1774752 2070544 3105816 4141088 6211632 12423264