Search a number
-
+
2072702736 = 243313369071
BaseRepresentation
bin111101110001010…
…1110111100010000
312100110011012122000
41323202232330100
513221102441421
6541401114000
7102235453056
oct17342567420
95313135560
102072702736
11973a94275
1249a188900
13270551130
141593c21d6
15c1e74226
hex7b8aef10

2072702736 has 80 divisors (see below), whose sum is σ = 6407089920. Its totient is φ = 637752960.

The previous prime is 2072702717. The next prime is 2072702743. The reversal of 2072702736 is 6372072702.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2072702736.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178920 + ... + 190151.

It is an arithmetic number, because the mean of its divisors is an integer number (80088624).

Almost surely, 22072702736 is an apocalyptic number.

2072702736 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2072702736 is an abundant number, since it is smaller than the sum of its proper divisors (4334387184).

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

2072702736 is a wasteful number, since it uses less digits than its factorization.

2072702736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369101 (or 369089 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 2072702736 is about 45526.9451643749. The cubic root of 2072702736 is about 1275.0063279963.

The spelling of 2072702736 in words is "two billion, seventy-two million, seven hundred two thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 369071 738142 1107213 1476284 2214426 2952568 3321639 4428852 4797923 5905136 6643278 8857704 9595846 9964917 13286556 14393769 17715408 19191692 19929834 26573112 28787538 38383384 39859668 43181307 53146224 57575076 76766768 79719336 86362614 115150152 129543921 159438672 172725228 230300304 259087842 345450456 518175684 690900912 1036351368 2072702736