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1016021216 = 25710144909
BaseRepresentation
bin111100100011110…
…100000011100000
32121210211020002102
4330203310003200
54040100134331
6244452505532
734115015660
oct7443640340
92553736072
101016021216
11481576861
1224431b2a8
131326595b2
1498d1c1a0
155e2e84cb
hex3c8f40e0

1016021216 has 48 divisors (see below), whose sum is σ = 2308733280. Its totient is φ = 431116800.

The previous prime is 1016021207. The next prime is 1016021233. The reversal of 1016021216 is 6121206101.

It is a super-2 number, since 2×10160212162 = 2064598222724237312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170 + ... + 45078.

It is an arithmetic number, because the mean of its divisors is an integer number (48098610).

Almost surely, 21016021216 is an apocalyptic number.

1016021216 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 1016021216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154366640).

1016021216 is an abundant number, since it is smaller than the sum of its proper divisors (1292712064).

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

1016021216 is a wasteful number, since it uses less digits than its factorization.

1016021216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45027 (or 45019 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 1016021216 is about 31875.0877018401. The cubic root of 1016021216 is about 1005.3121365710.

Adding to 1016021216 its reverse (6121206101), we get a palindrome (7137227317).

The spelling of 1016021216 in words is "one billion, sixteen million, twenty-one thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 101 112 202 224 404 707 808 1414 1616 2828 3232 5656 11312 22624 44909 89818 179636 314363 359272 628726 718544 1257452 1437088 2514904 4535809 5029808 9071618 10059616 18143236 31750663 36286472 63501326 72572944 127002652 145145888 254005304 508010608 1016021216