Search a number
-
+
1055223040 = 285824393
BaseRepresentation
bin111110111001010…
…110110100000000
32201112120212212211
4332321112310000
54130114114130
6252413031504
735102151004
oct7671266400
92645525784
101055223040
114a1711763
12255485594
1313a803a41
14a0204704
156298da2a
hex3ee56d00

1055223040 has 36 divisors (see below), whose sum is σ = 2527592004. Its totient is φ = 422088704.

The previous prime is 1055223023. The next prime is 1055223101. The reversal of 1055223040 is 403225501.

1055223040 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 569108736 + 486114304 = 23856^2 + 22048^2 .

It is a super-2 number, since 2×10552230402 = 2226991328293683200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 410917 + ... + 413476.

It is an arithmetic number, because the mean of its divisors is an integer number (70210889).

Almost surely, 21055223040 is an apocalyptic number.

1055223040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1055223040 is an abundant number, since it is smaller than the sum of its proper divisors (1472368964).

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

1055223040 is an frugal number, since it uses more digits than its factorization.

1055223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824414 (or 824400 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 1055223040 is about 32484.1967732003. The cubic root of 1055223040 is about 1018.0788649768.

Adding to 1055223040 its reverse (403225501), we get a palindrome (1458448541).

The spelling of 1055223040 in words is "one billion, fifty-five million, two hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 824393 1648786 3297572 4121965 6595144 8243930 13190288 16487860 26380576 32975720 52761152 65951440 105522304 131902880 211044608 263805760 527611520 1055223040