Search a number
-
+
1066615144 = 237213719861
BaseRepresentation
bin111111100100110…
…100000101101000
32202100000122220121
4333210310011220
54141023141034
6253501133024
735301036100
oct7744640550
92670018817
101066615144
114a8092821
1225925a174
1313cc9212a
14a192c200
156398e1b4
hex3f934168

1066615144 has 48 divisors (see below), whose sum is σ = 2343517380. Its totient is φ = 453761280.

The previous prime is 1066615117. The next prime is 1066615177. The reversal of 1066615144 is 4415166601.

1066615144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 977312644 + 89302500 = 31262^2 + 9450^2 .

It is a super-2 number, since 2×10666151442 = 2275335730820281472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43774 + ... + 63634.

Almost surely, 21066615144 is an apocalyptic number.

1066615144 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 1066615144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171758690).

1066615144 is an abundant number, since it is smaller than the sum of its proper divisors (1276902236).

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

1066615144 is a wasteful number, since it uses less digits than its factorization.

1066615144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20018 (or 20007 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 1066615144 is about 32659.0744510618. The cubic root of 1066615144 is about 1021.7294586326.

The spelling of 1066615144 in words is "one billion, sixty-six million, six hundred fifteen thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 137 196 274 392 548 959 1096 1918 3836 6713 7672 13426 19861 26852 39722 53704 79444 139027 158888 278054 556108 973189 1112216 1946378 2720957 3892756 5441914 7785512 10883828 19046699 21767656 38093398 76186796 133326893 152373592 266653786 533307572 1066615144