Search a number
-
+
1121797296 = 243389163179
BaseRepresentation
bin100001011011101…
…0100010010110000
32220011212012121000
41002313110102300
54244140003141
6303152002000
736541056024
oct10267242260
92804765530
101121797296
11526252a04
12273830300
1314b5431a9
14a8db4384
156873e5b6
hex42dd44b0

1121797296 has 160 divisors (see below), whose sum is σ = 3294432000. Its totient is φ = 365409792.

The previous prime is 1121797289. The next prime is 1121797301. The reversal of 1121797296 is 6927971211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6266935 + ... + 6267113.

It is an arithmetic number, because the mean of its divisors is an integer number (20590200).

Almost surely, 21121797296 is an apocalyptic number.

1121797296 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 1121797296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647216000).

1121797296 is an abundant number, since it is smaller than the sum of its proper divisors (2172634704).

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

1121797296 is a wasteful number, since it uses less digits than its factorization.

1121797296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 436 counting only the distinct ones).

The product of its digits is 95256, while the sum is 45.

The square root of 1121797296 is about 33493.2425423398. The cubic root of 1121797296 is about 1039.0540264005.

The spelling of 1121797296 in words is "one billion, one hundred twenty-one million, seven hundred ninety-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 89 108 144 163 178 179 216 267 326 356 358 432 489 534 537 652 712 716 801 978 1068 1074 1304 1424 1432 1467 1602 1611 1956 2136 2148 2403 2608 2864 2934 3204 3222 3912 4272 4296 4401 4806 4833 5868 6408 6444 7824 8592 8802 9612 9666 11736 12816 12888 14507 15931 17604 19224 19332 23472 25776 29014 29177 31862 35208 38448 38664 43521 47793 58028 58354 63724 70416 77328 87042 87531 95586 116056 116708 127448 130563 143379 174084 175062 191172 232112 233416 254896 261126 262593 286758 348168 350124 382344 391689 430137 466832 522252 525186 573516 696336 700248 764688 783378 787779 860274 1044504 1050372 1147032 1400496 1566756 1575558 1720548 2089008 2100744 2294064 2596753 3133512 3151116 3441096 4201488 5193506 6267024 6302232 6882192 7790259 10387012 12604464 15580518 20774024 23370777 31161036 41548048 46741554 62322072 70112331 93483108 124644144 140224662 186966216 280449324 373932432 560898648 1121797296