Search a number
-
+
2431054000 = 245323411289
BaseRepresentation
bin1001000011100110…
…1111000010110000
320021102110100011001
42100321233002300
514434322212000
61041121531344
7114146421664
oct22071570260
96242410131
102431054000
1110382a2941
1257a1a3b54
132c986c5bb
14190c248a4
15e365c46a
hex90e6f0b0

2431054000 has 160 divisors (see below), whose sum is σ = 6288347520. Its totient is φ = 906752000.

The previous prime is 2431053973. The next prime is 2431054027. The reversal of 2431054000 is 4501342.

It is an interprime number because it is at equal distance from previous prime (2431053973) and next prime (2431054027).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1885356 + ... + 1886644.

It is an arithmetic number, because the mean of its divisors is an integer number (39302172).

Almost surely, 22431054000 is an apocalyptic number.

2431054000 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 2431054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144173760).

2431054000 is an abundant number, since it is smaller than the sum of its proper divisors (3857293520).

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

2431054000 is a wasteful number, since it uses less digits than its factorization.

2431054000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2431054000 is about 49305.7197493354. The cubic root of 2431054000 is about 1344.6157744960.

Adding to 2431054000 its reverse (4501342), we get a palindrome (2435555342).

The spelling of 2431054000 in words is "two billion, four hundred thirty-one million, fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 41 46 50 80 82 92 100 115 125 164 184 200 205 230 250 328 368 400 410 460 500 575 656 820 920 943 1000 1025 1150 1289 1640 1840 1886 2000 2050 2300 2578 2875 3280 3772 4100 4600 4715 5125 5156 5750 6445 7544 8200 9200 9430 10250 10312 11500 12890 15088 16400 18860 20500 20624 23000 23575 25780 29647 32225 37720 41000 46000 47150 51560 52849 59294 64450 75440 82000 94300 103120 105698 117875 118588 128900 148235 161125 188600 211396 235750 237176 257800 264245 296470 322250 377200 422792 471500 474352 515600 528490 592940 644500 741175 845584 943000 1056980 1185880 1215527 1289000 1321225 1482350 1886000 2113960 2371760 2431054 2578000 2642450 2964700 3705875 4227920 4862108 5284900 5929400 6077635 6606125 7411750 9724216 10569800 11858800 12155270 13212250 14823500 19448432 21139600 24310540 26424500 29647000 30388175 48621080 52849000 59294000 60776350 97242160 105698000 121552700 151940875 243105400 303881750 486210800 607763500 1215527000 2431054000