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2531000320 = 21851931
BaseRepresentation
bin1001011011011100…
…0000000000000000
320112101112010201121
42112313000000000
520140414002240
61055052042024
7116502101452
oct22667000000
96471463647
102531000320
111089758002
125a7763314
13314494834
141a02002d2
15ec30104a
hex96dc0000

2531000320 has 76 divisors (see below), whose sum is σ = 6077534904. Its totient is φ = 1011875840.

The previous prime is 2531000291. The next prime is 2531000321. The reversal of 2531000320 is 230001352.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2531000294 and 2531000303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2531000321) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1309755 + ... + 1311685.

Almost surely, 22531000320 is an apocalyptic number.

2531000320 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 2531000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3038767452).

2531000320 is an abundant number, since it is smaller than the sum of its proper divisors (3546534584).

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

2531000320 is an frugal number, since it uses more digits than its factorization.

2531000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 2531000320 is about 50309.0480927636. The cubic root of 2531000320 is about 1362.7956334055.

Adding to 2531000320 its reverse (230001352), we get a palindrome (2761001672).

The spelling of 2531000320 in words is "two billion, five hundred thirty-one million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 1931 2048 2560 3862 4096 5120 7724 8192 9655 10240 15448 16384 19310 20480 30896 32768 38620 40960 61792 65536 77240 81920 123584 131072 154480 163840 247168 262144 308960 327680 494336 617920 655360 988672 1235840 1310720 1977344 2471680 3954688 4943360 7909376 9886720 15818752 19773440 31637504 39546880 63275008 79093760 126550016 158187520 253100032 316375040 506200064 632750080 1265500160 2531000320