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1066492416 = 29311174779
BaseRepresentation
bin111111100100010…
…110001000000000
32202022210102120010
4333210112020000
54141010224131
6253454344520
735300015223
oct7744261000
92668712503
101066492416
114a80095a0
122591bb140
1313cc4b302
14a18d95ba
1563967b46
hex3f916200

1066492416 has 320 divisors, whose sum is σ = 3394068480. Its totient is φ = 293928960.

The previous prime is 1066492409. The next prime is 1066492489. The reversal of 1066492416 is 6142946601.

It is a super-2 number, since 2×10664924162 = 2274812146771034112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13499865 + ... + 13499943.

It is an arithmetic number, because the mean of its divisors is an integer number (10606464).

Almost surely, 21066492416 is an apocalyptic number.

1066492416 is a gapful number since it is divisible by the number (16) 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 1066492416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697034240).

1066492416 is an abundant number, since it is smaller than the sum of its proper divisors (2327576064).

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

1066492416 is a wasteful number, since it uses less digits than its factorization.

1066492416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 1066492416 is about 32657.1954705238. The cubic root of 1066492416 is about 1021.6902693575.

The spelling of 1066492416 in words is "one billion, sixty-six million, four hundred ninety-two thousand, four hundred sixteen".