Search a number
-
+
1080929920 = 2757892711
BaseRepresentation
bin100000001101101…
…1010111010000000
32210022221221002111
41000123122322000
54203204224140
6255132025104
735533516120
oct10033327200
92708857074
101080929920
1150517a714
12262002194
13142c34905
14a37b6c80
1564d6a7ea
hex406dae80

1080929920 has 128 divisors (see below), whose sum is σ = 2987539200. Its totient is φ = 366305280.

The previous prime is 1080929911. The next prime is 1080929933. The reversal of 1080929920 is 299290801.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 397365 + ... + 400075.

It is an arithmetic number, because the mean of its divisors is an integer number (23340150).

Almost surely, 21080929920 is an apocalyptic number.

1080929920 is a gapful number since it is divisible by the number (10) 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 1080929920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493769600).

1080929920 is an abundant number, since it is smaller than the sum of its proper divisors (1906609280).

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

1080929920 is an equidigital number, since it uses as much as digits as its factorization.

1080929920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2826 (or 2814 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 40.

The square root of 1080929920 is about 32877.4986883126. The cubic root of 1080929920 is about 1026.2799540543.

The spelling of 1080929920 in words is "one billion, eighty million, nine hundred twenty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 89 112 128 140 160 178 224 280 320 356 445 448 560 623 640 712 890 896 1120 1246 1424 1780 2240 2492 2711 2848 3115 3560 4480 4984 5422 5696 6230 7120 9968 10844 11392 12460 13555 14240 18977 19936 21688 24920 27110 28480 37954 39872 43376 49840 54220 56960 75908 79744 86752 94885 99680 108440 151816 173504 189770 199360 216880 241279 303632 347008 379540 398720 433760 482558 607264 759080 867520 965116 1206395 1214528 1518160 1688953 1735040 1930232 2412790 2429056 3036320 3377906 3860464 4825580 6072640 6755812 7720928 8444765 9651160 12145280 13511624 15441856 16889530 19302320 27023248 30883712 33779060 38604640 54046496 67558120 77209280 108092992 135116240 154418560 216185984 270232480 540464960 1080929920