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1097805984 = 253113728097
BaseRepresentation
bin100000101101111…
…0011000010100000
32211111201022200220
41001123303002200
54222014242414
6300533443040
736130124352
oct10133630240
92744638626
101097805984
11513756980
122677a0480
13146593152
14a5b2b0d2
15665a0ca9
hex416f30a0

1097805984 has 96 divisors (see below), whose sum is σ = 3228797376. Its totient is φ = 323665920.

The previous prime is 1097805977. The next prime is 1097806001. The reversal of 1097805984 is 4895087901.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25024 + ... + 53120.

It is an arithmetic number, because the mean of its divisors is an integer number (33633306).

Almost surely, 21097805984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1097805984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614398688).

1097805984 is an abundant number, since it is smaller than the sum of its proper divisors (2130991392).

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

1097805984 is a wasteful number, since it uses less digits than its factorization.

1097805984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28158 (or 28150 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 51.

The square root of 1097805984 is about 33133.1553583416. The cubic root of 1097805984 is about 1031.5933437756.

The spelling of 1097805984 in words is "one billion, ninety-seven million, eight hundred five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 66 74 88 96 111 132 148 176 222 264 296 352 407 444 528 592 814 888 1056 1184 1221 1628 1776 2442 3256 3552 4884 6512 9768 13024 19536 28097 39072 56194 84291 112388 168582 224776 309067 337164 449552 618134 674328 899104 927201 1039589 1236268 1348656 1854402 2079178 2472536 2697312 3118767 3708804 4158356 4945072 6237534 7417608 8316712 9890144 11435479 12475068 14835216 16633424 22870958 24950136 29670432 33266848 34306437 45741916 49900272 68612874 91483832 99800544 137225748 182967664 274451496 365935328 548902992 1097805984