Search a number
-
+
1102920832 = 271317127307
BaseRepresentation
bin100000110111101…
…0011110010000000
32211212100011221201
41001233103302000
54224321431312
6301235230544
736221446426
oct10157236200
92755304851
101102920832
1151662a822
12269448454
131476642a0
14a669d116
1566c61557
hex41bd3c80

1102920832 has 128 divisors (see below), whose sum is σ = 2533386240. Its totient is φ = 473776128.

The previous prime is 1102920799. The next prime is 1102920893. The reversal of 1102920832 is 2380292011.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1102920832.

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 15 ways as a sum of consecutive naturals, for example, 3592423 + ... + 3592729.

It is an arithmetic number, because the mean of its divisors is an integer number (19792080).

Almost surely, 21102920832 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 1102920832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266693120).

1102920832 is an abundant number, since it is smaller than the sum of its proper divisors (1430465408).

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

1102920832 is a wasteful number, since it uses less digits than its factorization.

1102920832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 1102920832 is about 33210.2519111193. The cubic root of 1102920832 is about 1033.1929797116.

The spelling of 1102920832 in words is "one billion, one hundred two million, nine hundred twenty thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 127 128 136 208 221 254 272 307 416 442 508 544 614 832 884 1016 1088 1228 1651 1664 1768 2032 2159 2176 2456 3302 3536 3991 4064 4318 4912 5219 6604 7072 7982 8128 8636 9824 10438 13208 14144 15964 16256 17272 19648 20876 26416 28067 28288 31928 34544 38989 39296 41752 52832 56134 63856 67847 69088 77978 83504 105664 112268 127712 135694 138176 155956 167008 211328 224536 255424 271388 276352 311912 334016 449072 506857 510848 542776 623824 662813 668032 898144 1013714 1085552 1247648 1325626 1796288 2027428 2171104 2495296 2651252 3592576 4054856 4342208 4990592 5302504 8109712 8616569 8684416 10605008 16219424 17233138 21210016 32438848 34466276 42420032 64877696 68932552 84840064 137865104 275730208 551460416 1102920832