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1075828656 = 24375954269
BaseRepresentation
bin100000000011111…
…1101011110110000
32202222100202110210
41000013331132300
54200403004111
6254430424120
735442251460
oct10007753660
92688322423
101075828656
11502305aa1
12260362040
13141b69a06
14a2c49ba0
15646ae0a6
hex401fd7b0

1075828656 has 80 divisors (see below), whose sum is σ = 3230150400. Its totient is φ = 302164224.

The previous prime is 1075828603. The next prime is 1075828661. The reversal of 1075828656 is 6568285701.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 7311 + ... + 46958.

It is an arithmetic number, because the mean of its divisors is an integer number (40376880).

Almost surely, 21075828656 is an apocalyptic number.

1075828656 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 1075828656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615075200).

1075828656 is an abundant number, since it is smaller than the sum of its proper divisors (2154321744).

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

1075828656 is a wasteful number, since it uses less digits than its factorization.

1075828656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54346 (or 54340 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The square root of 1075828656 is about 32799.8270727149. The cubic root of 1075828656 is about 1024.6629567238.

The spelling of 1075828656 in words is "one billion, seventy-five million, eight hundred twenty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 59 84 112 118 168 177 236 336 354 413 472 708 826 944 1239 1416 1652 2478 2832 3304 4956 6608 9912 19824 54269 108538 162807 217076 325614 379883 434152 651228 759766 868304 1139649 1302456 1519532 2279298 2604912 3039064 3201871 4558596 6078128 6403742 9117192 9605613 12807484 18234384 19211226 22413097 25614968 38422452 44826194 51229936 67239291 76844904 89652388 134478582 153689808 179304776 268957164 358609552 537914328 1075828656