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1122801696 = 25332694831
BaseRepresentation
bin100001011101100…
…1001100000100000
32220020202020101000
41002323021200200
54244414123241
6303225312000
736552441222
oct10273114040
92806666330
101122801696
11526879595
12274035600
1314b805403
14a9196412
156888beb6
hex42ec9820

1122801696 has 96 divisors (see below), whose sum is σ = 3287692800. Its totient is φ = 372798720.

The previous prime is 1122801677. The next prime is 1122801707. The reversal of 1122801696 is 6961082211.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1122801696.

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 15 ways as a sum of consecutive naturals, for example, 230001 + ... + 234831.

It is an arithmetic number, because the mean of its divisors is an integer number (34246800).

Almost surely, 21122801696 is an apocalyptic number.

1122801696 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 1122801696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643846400).

1122801696 is an abundant number, since it is smaller than the sum of its proper divisors (2164891104).

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

1122801696 is a wasteful number, since it uses less digits than its factorization.

1122801696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5119 (or 5105 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1122801696 is about 33508.2332569176. The cubic root of 1122801696 is about 1039.3640391966.

The spelling of 1122801696 in words is "one billion, one hundred twenty-two million, eight hundred one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 269 288 432 538 807 864 1076 1614 2152 2421 3228 4304 4831 4842 6456 7263 8608 9662 9684 12912 14493 14526 19324 19368 25824 28986 29052 38648 38736 43479 57972 58104 77296 77472 86958 115944 116208 130437 154592 173916 231888 232416 260874 347832 463776 521748 695664 1043496 1299539 1391328 2086992 2599078 3898617 4173984 5198156 7797234 10396312 11695851 15594468 20792624 23391702 31188936 35087553 41585248 46783404 62377872 70175106 93566808 124755744 140350212 187133616 280700424 374267232 561400848 1122801696