Search a number
-
+
1058158080 = 2931057
BaseRepresentation
bin111111000100100…
…011011000000000
32201202010000000000
4333010203120000
54131342024310
6253000000000
735136123660
oct7704433000
92652100000
101058158080
114a3336911
12256460000
1313b2c0955
14a076a1a0
1562d6d4c0
hex3f123600

1058158080 has 440 divisors, whose sum is σ = 4349288592. Its totient is φ = 241864704.

The previous prime is 1058158069. The next prime is 1058158093. The reversal of 1058158080 is 808518501.

It is a super-2 number, since 2×10581580802 = 2239397044538572800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 151165437 + ... + 151165443.

Almost surely, 21058158080 is an apocalyptic number.

1058158080 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 1058158080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2174644296).

1058158080 is an abundant number, since it is smaller than the sum of its proper divisors (3291130512).

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

1058158080 is an frugal number, since it uses more digits than its factorization.

1058158080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 36.

The square root of 1058158080 is about 32529.3418316449. The cubic root of 1058158080 is about 1019.0218997484.

The spelling of 1058158080 in words is "one billion, fifty-eight million, one hundred fifty-eight thousand, eighty".