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1115991296 = 2871973449
BaseRepresentation
bin100001010000100…
…1010110100000000
32212202221020020222
41002201022310000
54241143210141
6302423322212
736440524640
oct10241126400
92782836228
101115991296
11522a47862
122718b0368
1314a28c5a4
14a8302520
1567e9414b
hex4284ad00

1115991296 has 144 divisors (see below), whose sum is σ = 2722608000. Its totient is φ = 445906944.

The previous prime is 1115991293. The next prime is 1115991307. The reversal of 1115991296 is 6921995111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1115991293) 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, 2485280 + ... + 2485728.

It is an arithmetic number, because the mean of its divisors is an integer number (18907000).

Almost surely, 21115991296 is an apocalyptic number.

1115991296 is a gapful number since it is divisible by the number (16) 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 1115991296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361304000).

1115991296 is an abundant number, since it is smaller than the sum of its proper divisors (1606616704).

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

1115991296 is an equidigital number, since it uses as much as digits as its factorization.

1115991296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 550 counting only the distinct ones).

The product of its digits is 43740, while the sum is 44.

The square root of 1115991296 is about 33406.4559030137. The cubic root of 1115991296 is about 1037.2583408903.

The spelling of 1115991296 in words is "one billion, one hundred fifteen million, nine hundred ninety-one thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 73 76 112 128 133 146 152 224 256 266 292 304 448 449 511 532 584 608 896 898 1022 1064 1168 1216 1387 1792 1796 2044 2128 2336 2432 2774 3143 3592 4088 4256 4672 4864 5548 6286 7184 8176 8512 8531 9344 9709 11096 12572 14368 16352 17024 17062 18688 19418 22192 25144 28736 32704 32777 34048 34124 38836 44384 50288 57472 59717 65408 65554 68248 77672 88768 100576 114944 119434 130816 131108 136496 155344 177536 201152 229439 238868 262216 272992 310688 355072 402304 458878 477736 524432 545984 621376 622763 804608 917756 955472 1048864 1091968 1242752 1245526 1835512 1910944 2097728 2183936 2485504 2491052 3671024 3821888 4195456 4359341 4982104 7342048 7643776 8390912 8718682 9964208 14684096 15287552 17437364 19928416 29368192 34874728 39856832 58736384 69749456 79713664 139498912 159427328 278997824 557995648 1115991296