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23420404320 = 253550397003
BaseRepresentation
bin10101110011111101…
…110000001001100000
32020110012121210220020
4111303331300021200
5340431110414240
614431552313440
71456244103105
oct256375601140
966405553806
1023420404320
119a29231455
124657542880
1322931c5c11
1411c2684aac
159211a40d0
hex573f70260

23420404320 has 96 divisors (see below), whose sum is σ = 73921704192. Its totient is φ = 6232960512.

The previous prime is 23420404309. The next prime is 23420404333. The reversal of 23420404320 is 2340402432.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192939 + ... + 289941.

It is an arithmetic number, because the mean of its divisors is an integer number (770017752).

Almost surely, 223420404320 is an apocalyptic number.

23420404320 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 23420404320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36960852096).

23420404320 is an abundant number, since it is smaller than the sum of its proper divisors (50501299872).

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

23420404320 is a wasteful number, since it uses less digits than its factorization.

23420404320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97524 (or 97516 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 23420404320 its reverse (2340402432), we get a palindrome (25760806752).

The spelling of 23420404320 in words is "twenty-three billion, four hundred twenty million, four hundred four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 503 1006 1509 2012 2515 3018 4024 5030 6036 7545 8048 10060 12072 15090 16096 20120 24144 30180 40240 48288 60360 80480 97003 120720 194006 241440 291009 388012 485015 582018 776024 970030 1164036 1455045 1552048 1940060 2328072 2910090 3104096 3880120 4656144 5820180 7760240 9312288 11640360 15520480 23280720 46561440 48792509 97585018 146377527 195170036 243962545 292755054 390340072 487925090 585510108 731887635 780680144 975850180 1171020216 1463775270 1561360288 1951700360 2342040432 2927550540 3903400720 4684080864 5855101080 7806801440 11710202160 23420404320