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1074680224 = 25312773911
BaseRepresentation
bin100000000001110…
…0101000110100000
32202220012102010021
41000003211012200
54200104231344
6254350043224
735426426332
oct10003450640
92686172107
101074680224
115016a1182
1225baa9514
13141857077
14a2a2b452
1564533b84
hex400e51a0

1074680224 has 48 divisors (see below), whose sum is σ = 2192472576. Its totient is φ = 517996800.

The previous prime is 1074680183. The next prime is 1074680263. The reversal of 1074680224 is 4220864701.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1074680224.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 272829 + ... + 276739.

It is an arithmetic number, because the mean of its divisors is an integer number (45676512).

Almost surely, 21074680224 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 1074680224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096236288).

1074680224 is an abundant number, since it is smaller than the sum of its proper divisors (1117792352).

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

1074680224 is a wasteful number, since it uses less digits than its factorization.

1074680224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4229 (or 4221 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 1074680224 is about 32782.3157205222. The cubic root of 1074680224 is about 1024.2982224656.

The spelling of 1074680224 in words is "one billion, seventy-four million, six hundred eighty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 31 32 62 124 248 277 496 554 992 1108 2216 3911 4432 7822 8587 8864 15644 17174 31288 34348 62576 68696 121241 125152 137392 242482 274784 484964 969928 1083347 1939856 2166694 3879712 4333388 8666776 17333552 33583757 34667104 67167514 134335028 268670056 537340112 1074680224