Search a number
-
+
7103640656 = 2471937831087
BaseRepresentation
bin1101001110110100…
…01111010001010000
3200100001202100001002
412213122033101100
5104022013000111
63132515401132
7341014643420
oct64732172120
920301670032
107103640656
113015902402
121462bb31a8
13892922888
144b5618480
152b898c63b
hex1a768f450

7103640656 has 160 divisors (see below), whose sum is σ = 17225564160. Its totient is φ = 2769873408.

The previous prime is 7103640631. The next prime is 7103640679. The reversal of 7103640656 is 6560463017.

It is a happy number.

7103640656 is nontrivially palindromic in base 3.

It is a super-2 number, since 2×71036406562 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6534545 + ... + 6535631.

It is an arithmetic number, because the mean of its divisors is an integer number (107659776).

Almost surely, 27103640656 is an apocalyptic number.

7103640656 is a gapful number since it is divisible by the number (76) 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 7103640656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8612782080).

7103640656 is an abundant number, since it is smaller than the sum of its proper divisors (10121923504).

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

7103640656 is a wasteful number, since it uses less digits than its factorization.

7103640656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The square root of 7103640656 is about 84283.0982819213. The cubic root of 7103640656 is about 1922.3257998402.

The spelling of 7103640656 in words is "seven billion, one hundred three million, six hundred forty thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 19 28 37 38 56 74 76 83 112 133 148 152 166 259 266 296 304 332 518 532 581 592 664 703 1036 1064 1087 1162 1328 1406 1577 2072 2128 2174 2324 2812 3071 3154 4144 4348 4648 4921 5624 6142 6308 7609 8696 9296 9842 11039 11248 12284 12616 15218 17392 19684 20653 21497 22078 24568 25232 30436 39368 40219 41306 42994 44156 49136 58349 60872 78736 80438 82612 85988 88312 90221 116698 121744 144571 160876 165224 171976 176624 180442 233396 281533 289142 321752 330448 343952 360884 408443 466792 563066 578284 631547 643504 721768 764161 816886 933584 1126132 1156568 1263094 1443536 1528322 1633772 1714199 2252264 2313136 2526188 3056644 3267544 3338177 3428398 4504528 5052376 5349127 6113288 6535088 6676354 6856796 10104752 10698254 11999393 12226576 13352708 13713592 21396508 23367239 23998786 26705416 27427184 42793016 46734478 47997572 53410832 63425363 85586032 93468956 95995144 126850726 186937912 191990288 253701452 373875824 443977541 507402904 887955082 1014805808 1775910164 3551820328 7103640656