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2131804480 = 265131912683
BaseRepresentation
bin111111100010000…
…1100000101000000
312111120100212222111
41333010030011000
513331220220410
6551311545104
7103554016261
oct17704140500
95446325874
102131804480
119a4391293
124b5b2b194
1327c875290
141631a8968
15c724ab8a
hex7f10c140

2131804480 has 112 divisors (see below), whose sum is σ = 5497519104. Its totient is φ = 782714880.

The previous prime is 2131804457. The next prime is 2131804481. The reversal of 2131804480 is 844081312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131804481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 793219 + ... + 795901.

It is an arithmetic number, because the mean of its divisors is an integer number (49084992).

Almost surely, 22131804480 is an apocalyptic number.

2131804480 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 2131804480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2748759552).

2131804480 is an abundant number, since it is smaller than the sum of its proper divisors (3365714624).

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

2131804480 is a wasteful number, since it uses less digits than its factorization.

2131804480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2904 (or 2894 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 2131804480 is about 46171.4682460933. The cubic root of 2131804480 is about 1287.0115868871.

Adding to 2131804480 its reverse (844081312), we get a palindrome (2975885792).

The spelling of 2131804480 in words is "two billion, one hundred thirty-one million, eight hundred four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 191 208 260 320 382 416 520 764 832 955 1040 1528 1910 2080 2483 2683 3056 3820 4160 4966 5366 6112 7640 9932 10732 12224 12415 13415 15280 19864 21464 24830 26830 30560 34879 39728 42928 49660 53660 61120 69758 79456 85856 99320 107320 139516 158912 171712 174395 198640 214640 279032 348790 397280 429280 512453 558064 697580 794560 858560 1024906 1116128 1395160 2049812 2232256 2562265 2790320 4099624 5124530 5580640 6661889 8199248 10249060 11161280 13323778 16398496 20498120 26647556 32796992 33309445 40996240 53295112 66618890 81992480 106590224 133237780 163984960 213180448 266475560 426360896 532951120 1065902240 2131804480