Search a number
-
+
23024724120 = 2333528175869
BaseRepresentation
bin10101011100011000…
…010110100010011000
32012102122002011201000
4111130120112202120
5334123312132440
614324415425000
71443400632366
oct253430264230
965378064630
1023024724120
119845947022
124566b25160
13222c237918
141185cc6636
158eb595730
hex55c616898

23024724120 has 128 divisors (see below), whose sum is σ = 77023224000. Its totient is φ = 6117995520.

The previous prime is 23024724113. The next prime is 23024724127. The reversal of 23024724120 is 2142742032.

23024724120 is a `hidden beast` number, since 2 + 3 + 0 + 247 + 2 + 412 + 0 = 666.

It is a Cunningham number, because it is equal to 1517392-1.

It is an interprime number because it is at equal distance from previous prime (23024724113) and next prime (23024724127).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23024724127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265546 + ... + 341414.

Almost surely, 223024724120 is an apocalyptic number.

23024724120 is a gapful number since it is divisible by the number (20) 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 23024724120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38511612000).

23024724120 is an abundant number, since it is smaller than the sum of its proper divisors (53998499880).

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

23024724120 is a wasteful number, since it uses less digits than its factorization.

23024724120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76170 (or 76160 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The spelling of 23024724120 in words is "twenty-three billion, twenty-four million, seven hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 281 360 540 562 843 1080 1124 1405 1686 2248 2529 2810 3372 4215 5058 5620 6744 7587 8430 10116 11240 12645 15174 16860 20232 25290 30348 33720 37935 50580 60696 75869 75870 101160 151738 151740 227607 303476 303480 379345 455214 606952 682821 758690 910428 1138035 1365642 1517380 1820856 2048463 2276070 2731284 3034760 3414105 4096926 4552140 5462568 6828210 8193852 9104280 10242315 13656420 16387704 20484630 21319189 27312840 40969260 42638378 63957567 81938520 85276756 106595945 127915134 170553512 191872701 213191890 255830268 319787835 383745402 426383780 511660536 575618103 639575670 767490804 852767560 959363505 1151236206 1279151340 1534981608 1918727010 2302472412 2558302680 2878090515 3837454020 4604944824 5756181030 7674908040 11512362060 23024724120