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1097729424 = 24321122512
BaseRepresentation
bin100000101101110…
…0000010110010000
32211111120102200100
41001123200112100
54222004320144
6300532052400
736126355221
oct10133402620
92744512610
101097729424
11513704400
12267764100
1314656734c
14a5b0b248
1566588269
hex416e0590

1097729424 has 135 divisors (see below), whose sum is σ = 3390297547. Its totient is φ = 331320000.

The previous prime is 1097729419. The next prime is 1097729443. The reversal of 1097729424 is 4249277901.

Multipling 1097729424 by its product of nonzero digits (254016), we get a square (278840837366784 = 166985282).

It can be divided in two parts, 10977 and 29424, that added together give a square (40401 = 2012).

It is a happy number.

The square root of 1097729424 is 33132.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1097729424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4373299 + ... + 4373549.

Almost surely, 21097729424 is an apocalyptic number.

1097729424 is the 33132-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1097729424

1097729424 is an abundant number, since it is smaller than the sum of its proper divisors (2292568123).

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

1097729424 is a wasteful number, since it uses less digits than its factorization.

1097729424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The cubic root of 1097729424 is about 1031.5693624214.

The spelling of 1097729424 in words is "one billion, ninety-seven million, seven hundred twenty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 251 264 363 396 484 502 528 726 753 792 968 1004 1089 1452 1506 1584 1936 2008 2178 2259 2761 2904 3012 4016 4356 4518 5522 5808 6024 8283 8712 9036 11044 12048 16566 17424 18072 22088 24849 30371 33132 36144 44176 49698 60742 63001 66264 91113 99396 121484 126002 132528 182226 189003 198792 242968 252004 273339 364452 378006 397584 485936 504008 546678 567009 693011 728904 756012 1008016 1093356 1134018 1386022 1457808 1512024 2079033 2186712 2268036 2772044 3024048 4158066 4373424 4536072 5544088 6237099 7623121 8316132 9072144 11088176 12474198 15246242 16632264 22869363 24948396 30492484 33264528 45738726 49896792 60984968 68608089 91477452 99793584 121969936 137216178 182954904 274432356 365909808 548864712 1097729424