Search a number
-
+
2691512320 = 2115737549
BaseRepresentation
bin1010000001101101…
…0011100000000000
320221120112222210111
42200123103200000
521003011343240
61123024241104
7123461322460
oct24033234000
96846488714
102691512320
11116131a052
12631470194
1333b804353
141b7663ba0
1510b45a1ea
hexa06d3800

2691512320 has 96 divisors (see below), whose sum is σ = 7380828000. Its totient is φ = 922779648.

The previous prime is 2691512311. The next prime is 2691512321. The reversal of 2691512320 is 232151962.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2691512321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52906 + ... + 90454.

It is an arithmetic number, because the mean of its divisors is an integer number (76883625).

Almost surely, 22691512320 is an apocalyptic number.

2691512320 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 2691512320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3690414000).

2691512320 is an abundant number, since it is smaller than the sum of its proper divisors (4689315680).

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

2691512320 is an equidigital number, since it uses as much as digits as its factorization.

2691512320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37583 (or 37563 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 2691512320 is about 51879.7872007972. The cubic root of 2691512320 is about 1391.0159954596.

The spelling of 2691512320 in words is "two billion, six hundred ninety-one million, five hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1024 1120 1280 1792 2048 2240 2560 3584 4480 5120 7168 8960 10240 14336 17920 35840 37549 71680 75098 150196 187745 262843 300392 375490 525686 600784 750980 1051372 1201568 1314215 1501960 2102744 2403136 2628430 3003920 4205488 4806272 5256860 6007840 8410976 9612544 10513720 12015680 16821952 19225088 21027440 24031360 33643904 38450176 42054880 48062720 67287808 76900352 84109760 96125440 134575616 168219520 192250880 269151232 336439040 384501760 538302464 672878080 1345756160 2691512320