Search a number
-
+
1052023600 = 24528093251
BaseRepresentation
bin111110101101001…
…001101100110000
32201022120100002001
4332231021230300
54123304223400
6252220303344
735033024125
oct7655115460
92638510061
101052023600
1149a9269a1
122543a1b54
13139c53694
149da1074c
156255aa6a
hex3eb49b30

1052023600 has 60 divisors (see below), whose sum is σ = 2531389320. Its totient is φ = 420160000.

The previous prime is 1052023591. The next prime is 1052023603. The reversal of 1052023600 is 63202501.

It is a happy number.

It is a super-2 number, since 2×10520236002 = 2213507309913920000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1052023603) 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, 321975 + ... + 325225.

It is an arithmetic number, because the mean of its divisors is an integer number (42189822).

Almost surely, 21052023600 is an apocalyptic number.

1052023600 is a gapful number since it is divisible by the number (10) 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 1052023600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265694660).

1052023600 is an abundant number, since it is smaller than the sum of its proper divisors (1479365720).

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

1052023600 is a wasteful number, since it uses less digits than its factorization.

1052023600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4078 (or 4067 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 1052023600 is about 32434.9132879988. The cubic root of 1052023600 is about 1017.0488837289.

The spelling of 1052023600 in words is "one billion, fifty-two million, twenty-three thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 809 1618 3236 3251 4045 6472 6502 8090 12944 13004 16180 16255 20225 26008 32360 32510 40450 52016 64720 65020 80900 81275 130040 161800 162550 260080 323600 325100 650200 1300400 2630059 5260118 10520236 13150295 21040472 26300590 42080944 52601180 65751475 105202360 131502950 210404720 263005900 526011800 1052023600