Search a number
-
+
1109545008 = 24311131091483
BaseRepresentation
bin100001000100010…
…0101000000110000
32212022210201121120
41002020211000300
54233020420013
6302033222240
736331656045
oct10210450060
92768721546
101109545008
1151a344650
1226b701980
13148b43410
14a75051cc
156761e123
hex42225030

1109545008 has 160 divisors (see below), whose sum is σ = 3400615680. Its totient is φ = 307307520.

The previous prime is 1109545007. The next prime is 1109545013. The reversal of 1109545008 is 8005459011.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 1109545008.

It is not an unprimeable number, because it can be changed into a prime (1109545007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 747435 + ... + 748917.

It is an arithmetic number, because the mean of its divisors is an integer number (21253848).

Almost surely, 21109545008 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 1109545008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700307840).

1109545008 is an abundant number, since it is smaller than the sum of its proper divisors (2291070672).

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

1109545008 is a wasteful number, since it uses less digits than its factorization.

1109545008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 33.

The square root of 1109545008 is about 33309.8335030363. The cubic root of 1109545008 is about 1035.2573151913.

The spelling of 1109545008 in words is "one billion, one hundred nine million, five hundred forty-five thousand, eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 109 132 143 156 176 208 218 264 286 312 327 429 436 528 572 624 654 858 872 1144 1199 1308 1417 1483 1716 1744 2288 2398 2616 2834 2966 3432 3597 4251 4449 4796 5232 5668 5932 6864 7194 8502 8898 9592 11336 11864 14388 15587 16313 17004 17796 19184 19279 22672 23728 28776 31174 32626 34008 35592 38558 46761 48939 57552 57837 62348 65252 68016 71184 77116 93522 97878 115674 124696 130504 154232 161647 187044 195756 212069 231348 249392 261008 308464 323294 374088 391512 424138 462696 484941 636207 646588 748176 783024 848276 925392 969882 1272414 1293176 1696552 1778117 1939764 2101411 2544828 2586352 3393104 3556234 3879528 4202822 5089656 5334351 6304233 7112468 7759056 8405644 10179312 10668702 12608466 14224936 16811288 21337404 23115521 25216932 28449872 33622576 42674808 46231042 50433864 69346563 85349616 92462084 100867728 138693126 184924168 277386252 369848336 554772504 1109545008