Search a number
-
+
12023452240 = 2451671934663
BaseRepresentation
bin10110011001010011…
…10101001001010000
31011000221020122202221
423030221311021100
5144111000432430
65305024150424
7603644441422
oct131451651120
934027218687
1012023452240
11510aa1a698
1223b6768414
131197c863a7
14820ba4812
154a585457a
hex2cca75250

12023452240 has 80 divisors (see below), whose sum is σ = 28273690368. Its totient is φ = 4754792448.

The previous prime is 12023452219. The next prime is 12023452261. The reversal of 12023452240 is 4225432021.

It is an interprime number because it is at equal distance from previous prime (12023452219) and next prime (12023452261).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×120234522402 (a number of 21 digits) contains 22 as substring.

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, 2576149 + ... + 2580811.

Almost surely, 212023452240 is an apocalyptic number.

12023452240 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 12023452240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14136845184).

12023452240 is an abundant number, since it is smaller than the sum of its proper divisors (16250238128).

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

12023452240 is a wasteful number, since it uses less digits than its factorization.

12023452240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5036 (or 5030 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 12023452240 its reverse (4225432021), we get a palindrome (16248884261).

The spelling of 12023452240 in words is "twelve billion, twenty-three million, four hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 167 193 334 386 668 772 835 965 1336 1544 1670 1930 2672 3088 3340 3860 4663 6680 7720 9326 13360 15440 18652 23315 32231 37304 46630 64462 74608 93260 128924 161155 186520 257848 322310 373040 515696 644620 778721 899959 1289240 1557442 1799918 2578480 3114884 3599836 3893605 4499795 6229768 7199672 7787210 8999590 12459536 14399344 15574420 17999180 31148840 35998360 62297680 71996720 150293153 300586306 601172612 751465765 1202345224 1502931530 2404690448 3005863060 6011726120 12023452240