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660284416 = 210112732
BaseRepresentation
bin100111010110110…
…010010000000000
31201000102220221101
4213112302100000
52323013100131
6145304104144
722235216311
oct4726622000
91630386841
10660284416
11309793500
12165165054
13a6a4514c
146399a608
153ce79c61
hex275b2400

660284416 has 99 divisors (see below), whose sum is σ = 1470972153. Its totient is φ = 296017920.

The previous prime is 660284413. The next prime is 660284419. The reversal of 660284416 is 614482066.

The square root of 660284416 is 25696.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (660284413) and next prime (660284419).

It can be written as a sum of positive squares in only one way, i.e., 374809600 + 285474816 = 19360^2 + 16896^2 .

It is a super-2 number, since 2×6602844162 = 871951020024922112, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (660284413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9044956 + ... + 9045028.

Almost surely, 2660284416 is an apocalyptic number.

660284416 is the 25696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 660284416

660284416 is an abundant number, since it is smaller than the sum of its proper divisors (810687737).

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

660284416 is an equidigital number, since it uses as much as digits as its factorization.

660284416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The cubic root of 660284416 is about 870.7838164519.

The spelling of 660284416 in words is "six hundred sixty million, two hundred eighty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 73 88 121 128 146 176 242 256 292 352 484 512 584 704 803 968 1024 1168 1408 1606 1936 2336 2816 3212 3872 4672 5329 5632 6424 7744 8833 9344 10658 11264 12848 15488 17666 18688 21316 25696 30976 35332 37376 42632 51392 58619 61952 70664 74752 85264 102784 117238 123904 141328 170528 205568 234476 282656 341056 411136 468952 565312 644809 682112 822272 937904 1130624 1289618 1364224 1875808 2261248 2579236 2728448 3751616 4522496 5158472 5456896 7503232 9044992 10316944 15006464 20633888 30012928 41267776 60025856 82535552 165071104 330142208 660284416