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660348096 = 26329233509
BaseRepresentation
bin100111010111000…
…001110011000000
31201000120011021220
4213113001303000
52323022114341
6145305315040
722235603052
oct4727016300
91630504256
10660348096
11309827331
12165195a80
13a6a68125
14639b58d2
153ce8da66
hex275c1cc0

660348096 has 112 divisors (see below), whose sum is σ = 1818741600. Its totient is φ = 211197952.

The previous prime is 660348077. The next prime is 660348103. The reversal of 660348096 is 690843066.

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 15 ways as a sum of consecutive naturals, for example, 1297090 + ... + 1297598.

Almost surely, 2660348096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 660348096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909370800).

660348096 is an abundant number, since it is smaller than the sum of its proper divisors (1158393504).

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

660348096 is a wasteful number, since it uses less digits than its factorization.

660348096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 660348096 is about 25697.2390734880. The cubic root of 660348096 is about 870.8118093035.

The spelling of 660348096 in words is "six hundred sixty million, three hundred forty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 233 348 464 466 509 696 699 928 932 1018 1392 1398 1527 1856 1864 2036 2784 2796 3054 3728 4072 5568 5592 6108 6757 7456 8144 11184 12216 13514 14761 14912 16288 20271 22368 24432 27028 29522 32576 40542 44283 44736 48864 54056 59044 81084 88566 97728 108112 118088 118597 162168 177132 216224 236176 237194 324336 354264 355791 432448 472352 474388 648672 708528 711582 944704 948776 1297344 1417056 1423164 1897552 2834112 2846328 3439313 3795104 5692656 6878626 7590208 10317939 11385312 13757252 20635878 22770624 27514504 41271756 55029008 82543512 110058016 165087024 220116032 330174048 660348096