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1061605216 = 25741911311
BaseRepresentation
bin111111010001101…
…100111101100000
32201222121010120201
4333101230331200
54133232331331
6253201514544
735210331640
oct7721547540
92658533521
101061605216
114a5280791
12257642a54
1313bc29989
14a0dc6520
15632eea61
hex3f46cf60

1061605216 has 48 divisors (see below), whose sum is σ = 2394524160. Its totient is φ = 453847680.

The previous prime is 1061605213. The next prime is 1061605219. The reversal of 1061605216 is 6125061601.

It is an interprime number because it is at equal distance from previous prime (1061605213) and next prime (1061605219).

It is a super-2 number, since 2×10616052162 = 2254011269276813312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1061605213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88201 + ... + 99511.

It is an arithmetic number, because the mean of its divisors is an integer number (49885920).

Almost surely, 21061605216 is an apocalyptic number.

1061605216 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 1061605216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197262080).

1061605216 is an abundant number, since it is smaller than the sum of its proper divisors (1332918944).

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

1061605216 is a wasteful number, since it uses less digits than its factorization.

1061605216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11747 (or 11739 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 1061605216 is about 32582.2837750824. The cubic root of 1061605216 is about 1020.1272479976.

Adding to 1061605216 its reverse (6125061601), we get a palindrome (7186666817).

The spelling of 1061605216 in words is "one billion, sixty-one million, six hundred five thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 419 838 1676 2933 3352 5866 6704 11311 11732 13408 22622 23464 45244 46928 79177 90488 93856 158354 180976 316708 361952 633416 1266832 2533664 4739309 9478618 18957236 33175163 37914472 66350326 75828944 132700652 151657888 265401304 530802608 1061605216