Search a number
-
+
2691933000 = 233531752783
BaseRepresentation
bin1010000001110011…
…1010001101001000
320221121100100212020
42200130322031020
521003113324000
61123041244440
7123465024111
oct24034721510
96847310766
102691933000
111161587119
12631633720
1333b920983
141b7733208
1510b4deba0
hexa073a348

2691933000 has 128 divisors (see below), whose sum is σ = 8893048320. Its totient is φ = 675609600.

The previous prime is 2691932993. The next prime is 2691933007. The reversal of 2691933000 is 3391962.

It is an interprime number because it is at equal distance from previous prime (2691932993) and next prime (2691933007).

It is not an unprimeable number, because it can be changed into a prime (2691933007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24609 + ... + 77391.

It is an arithmetic number, because the mean of its divisors is an integer number (69476940).

Almost surely, 22691933000 is an apocalyptic number.

2691933000 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 2691933000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4446524160).

2691933000 is an abundant number, since it is smaller than the sum of its proper divisors (6201115320).

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

2691933000 is a wasteful number, since it uses less digits than its factorization.

2691933000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52824 (or 52810 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 33.

The square root of 2691933000 is about 51883.8414152229. The cubic root of 2691933000 is about 1391.0884630360.

The spelling of 2691933000 in words is "two billion, six hundred ninety-one million, nine hundred thirty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 125 136 150 170 200 204 250 255 300 340 375 408 425 500 510 600 680 750 850 1000 1020 1275 1500 1700 2040 2125 2550 3000 3400 4250 5100 6375 8500 10200 12750 17000 25500 51000 52783 105566 158349 211132 263915 316698 422264 527830 633396 791745 897311 1055660 1266792 1319575 1583490 1794622 2111320 2639150 2691933 3166980 3589244 3958725 4486555 5278300 5383866 6333960 6597875 7178488 7917450 8973110 10556600 10767732 13195750 13459665 15834900 17946220 19793625 21535464 22432775 26391500 26919330 31669800 35892440 39587250 44865550 52783000 53838660 67298325 79174500 89731100 107677320 112163875 134596650 158349000 179462200 224327750 269193300 336491625 448655500 538386600 672983250 897311000 1345966500 2691933000