Search a number
-
+
1065793950 = 234521331653
BaseRepresentation
bin111111100001101…
…011100110011110
32202021110221110000
4333201223212132
54140320401300
6253431355130
735261045664
oct7741534636
92667427400
101065793950
114a7681851
12258b22aa6
1313ca65410
14a1796c34
156387ac00
hex3f86b99e

1065793950 has 240 divisors, whose sum is σ = 3297038976. Its totient is φ = 253497600.

The previous prime is 1065793933. The next prime is 1065793951. The reversal of 1065793950 is 593975601.

It is a super-2 number, since 2×10657939502 = 2271833487713205000, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1065793896 and 1065793905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1065793951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1631824 + ... + 1632476.

Almost surely, 21065793950 is an apocalyptic number.

1065793950 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 1065793950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648519488).

1065793950 is an abundant number, since it is smaller than the sum of its proper divisors (2231245026).

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

1065793950 is a wasteful number, since it uses less digits than its factorization.

1065793950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The square root of 1065793950 is about 32646.4998123842. The cubic root of 1065793950 is about 1021.4671792388.

The spelling of 1065793950 in words is "one billion, sixty-five million, seven hundred ninety-three thousand, nine hundred fifty".