Search a number
-
+
1066023504 = 243571323131
BaseRepresentation
bin111111100010100…
…011101001010000
32202021220121100000
4333202203221100
54140400223004
6253440330000
735263023150
oct7742435120
92667817300
101066023504
114a7819267
12259013900
1313cb15a50
14a1816760
15638c3c39
hex3f8a3a50

1066023504 has 480 divisors, whose sum is σ = 4003743744. Its totient is φ = 266872320.

The previous prime is 1066023487. The next prime is 1066023523. The reversal of 1066023504 is 4053206601.

1066023504 is a `hidden beast` number, since 1 + 0 + 6 + 602 + 3 + 50 + 4 = 666.

1066023504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10660235042 = 2272812222160876032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8137519 + ... + 8137649.

Almost surely, 21066023504 is an apocalyptic number.

1066023504 is a gapful number since it is divisible by the number (14) 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 1066023504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2001871872).

1066023504 is an abundant number, since it is smaller than the sum of its proper divisors (2937720240).

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

1066023504 is a wasteful number, since it uses less digits than its factorization.

1066023504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1066023504 is about 32650.0153751878. The cubic root of 1066023504 is about 1021.5405095620.

The spelling of 1066023504 in words is "one billion, sixty-six million, twenty-three thousand, five hundred four".