Search a number
-
+
1056478900 = 225218158369
BaseRepresentation
bin111110111110001…
…001011010110100
32201121221200121011
4332332021122310
54130424311100
6252500002004
735115631261
oct7676113264
92647850534
101056478900
114a239a264
12255990304
1313ab53559
14a0450268
1562b3abba
hex3ef896b4

1056478900 has 36 divisors (see below), whose sum is σ = 2305264780. Its totient is φ = 420249600.

The previous prime is 1056478877. The next prime is 1056478909. The reversal of 1056478900 is 98746501.

It can be written as a sum of positive squares in 6 ways, for example, as 210018064 + 846460836 = 14492^2 + 29094^2 .

It is a super-2 number, since 2×10564789002 = 2232295332290420000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056478909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11085 + ... + 47284.

Almost surely, 21056478900 is an apocalyptic number.

1056478900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1056478900 is an abundant number, since it is smaller than the sum of its proper divisors (1248785880).

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

1056478900 is a wasteful number, since it uses less digits than its factorization.

1056478900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58564 (or 58557 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 1056478900 is about 32503.5213476940. The cubic root of 1056478900 is about 1018.4825893042.

The spelling of 1056478900 in words is "one billion, fifty-six million, four hundred seventy-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 181 362 724 905 1810 3620 4525 9050 18100 58369 116738 233476 291845 583690 1167380 1459225 2918450 5836900 10564789 21129578 42259156 52823945 105647890 211295780 264119725 528239450 1056478900