Search a number
-
+
1059482970 = 2335713231107
BaseRepresentation
bin111111001001100…
…110110101011010
32201211121022102000
4333021212311122
54132211423340
6253044221430
735153312430
oct7711466532
92654538360
101059482970
114a4061267
1225699a876
1313b665a00
14a09d2d50
1563030d30
hex3f266d5a

1059482970 has 384 divisors, whose sum is σ = 3642900480. Its totient is φ = 214306560.

The previous prime is 1059482969. The next prime is 1059482989. The reversal of 1059482970 is 792849501.

It is a super-2 number, since 2×10594829702 = 2245008327440041800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9901657 + ... + 9901763.

It is an arithmetic number, because the mean of its divisors is an integer number (9486720).

Almost surely, 21059482970 is an apocalyptic number.

1059482970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1059482970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821450240).

1059482970 is an abundant number, since it is smaller than the sum of its proper divisors (2583417510).

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

1059482970 is a wasteful number, since it uses less digits than its factorization.

1059482970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 1059482970 is about 32549.6999986175. The cubic root of 1059482970 is about 1019.4470186007.

The spelling of 1059482970 in words is "one billion, fifty-nine million, four hundred eighty-two thousand, nine hundred seventy".