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1099979328 = 26376113417
BaseRepresentation
bin100000110010000…
…0101101001000000
32211122210201222010
41001210011221000
54223043314303
6301052212520
736154445550
oct10144055100
92748721863
101099979328
11514a00828
1226846a140
13146b74456
14a6135160
156687ec03
hex41905a40

1099979328 has 112 divisors (see below), whose sum is σ = 3380906624. Its totient is φ = 309104640.

The previous prime is 1099979323. The next prime is 1099979341. The reversal of 1099979328 is 8239799901.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (1099979323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75276 + ... + 88692.

Almost surely, 21099979328 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 1099979328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690453312).

1099979328 is an abundant number, since it is smaller than the sum of its proper divisors (2280927296).

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

1099979328 is a wasteful number, since it uses less digits than its factorization.

1099979328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13500 (or 13490 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 57.

The square root of 1099979328 is about 33165.9362599641. The cubic root of 1099979328 is about 1032.2736489630.

The spelling of 1099979328 in words is "one billion, ninety-nine million, nine hundred seventy-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 64 84 96 112 122 168 183 192 224 244 336 366 427 448 488 672 732 854 976 1281 1344 1464 1708 1952 2562 2928 3416 3904 5124 5856 6832 10248 11712 13417 13664 20496 26834 27328 40251 40992 53668 80502 81984 93919 107336 161004 187838 214672 281757 322008 375676 429344 563514 644016 751352 818437 858688 1127028 1288032 1502704 1636874 2254056 2455311 2576064 3005408 3273748 4508112 4910622 5729059 6010816 6547496 9016224 9821244 11458118 13094992 17187177 18032448 19642488 22916236 26189984 34374354 39284976 45832472 52379968 68748708 78569952 91664944 137497416 157139904 183329888 274994832 366659776 549989664 1099979328