Search a number
-
+
729980394 = 2311132371521
BaseRepresentation
bin101011100000101…
…001110111101010
31212212120211211220
4223200221313222
52443333333034
6200234002510
724042505503
oct5340516752
91785524756
10729980394
11345067090
12184576436
13b8308480
146cd3dbaa
1544145749
hex2b829dea

729980394 has 128 divisors (see below), whose sum is σ = 1818464256. Its totient is φ = 192192000.

The previous prime is 729980393. The next prime is 729980479. The reversal of 729980394 is 493089927.

It is not an unprimeable number, because it can be changed into a prime (729980393) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1400854 + ... + 1401374.

It is an arithmetic number, because the mean of its divisors is an integer number (14206752).

Almost surely, 2729980394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 729980394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909232128).

729980394 is an abundant number, since it is smaller than the sum of its proper divisors (1088483862).

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

729980394 is a wasteful number, since it uses less digits than its factorization.

729980394 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644.

The product of its (nonzero) digits is 979776, while the sum is 51.

The square root of 729980394 is about 27018.1493444684. The cubic root of 729980394 is about 900.4032735945.

The spelling of 729980394 in words is "seven hundred twenty-nine million, nine hundred eighty thousand, three hundred ninety-four".

Divisors: 1 2 3 6 11 13 22 23 26 33 39 46 66 69 71 78 138 142 143 213 253 286 299 426 429 506 521 598 759 781 858 897 923 1042 1518 1562 1563 1633 1794 1846 2343 2769 3126 3266 3289 4686 4899 5538 5731 6578 6773 9798 9867 10153 11462 11983 13546 17193 17963 19734 20306 20319 21229 23966 30459 34386 35926 35949 36991 40638 42458 53889 60918 63687 71898 73982 74503 107778 110973 127374 131813 149006 155779 221946 223509 233519 263626 311558 395439 406901 447018 467038 467337 480883 700557 790878 813802 850793 934674 961766 1220703 1401114 1442649 1701586 1713569 2441406 2552379 2885298 3427138 5104758 5140707 5289713 9358723 10281414 10579426 11060309 15869139 18717446 22120618 28076169 31738278 33180927 56152338 66361854 121663399 243326798 364990197 729980394