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23012424 = 2334172089
BaseRepresentation
bin101011111001…
…0010001001000
31121022011010000
41113302101020
521342344144
62141123000
7366413421
oct127622110
947264100
1023012424
1111a98636
127859460
1349c9626
1430b0648
152048769
hex15f2448

23012424 has 80 divisors (see below), whose sum is σ = 68280300. Its totient is φ = 7216128.

The previous prime is 23012411. The next prime is 23012453. The reversal of 23012424 is 42421032.

23012424 is a `hidden beast` number, since 230 + 12 + 424 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20088324 + 2924100 = 4482^2 + 1710^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23012397 and 23012406.

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 19 ways as a sum of consecutive naturals, for example, 9972 + ... + 12060.

Almost surely, 223012424 is an apocalyptic number.

23012424 is a gapful number since it is divisible by the number (24) 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 23012424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34140150).

23012424 is an abundant number, since it is smaller than the sum of its proper divisors (45267876).

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

23012424 is a wasteful number, since it uses less digits than its factorization.

23012424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 23012424 is about 4797.1266399794. The cubic root of 23012424 is about 284.4378948597.

Adding to 23012424 its reverse (42421032), we get a palindrome (65433456).

It can be divided in two parts, 23012 and 424, that added together give a triangular number (23436 = T216).

The spelling of 23012424 in words is "twenty-three million, twelve thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 306 324 408 459 612 648 918 1224 1377 1836 2089 2754 3672 4178 5508 6267 8356 11016 12534 16712 18801 25068 35513 37602 50136 56403 71026 75204 106539 112806 142052 150408 169209 213078 225612 284104 319617 338418 426156 451224 639234 676836 852312 958851 1278468 1353672 1917702 2556936 2876553 3835404 5753106 7670808 11506212 23012424