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670553442 = 2321337411889
BaseRepresentation
bin100111111101111…
…101010101100010
31201201202122101200
4213331331111202
52333130202232
6150312142030
722421416206
oct4775752542
91651678350
10670553442
113145677a9
12168697916
13a8bcc2b0
14650b0b06
153dd0777c
hex27f7d562

670553442 has 96 divisors (see below), whose sum is σ = 1646976240. Its totient is φ = 195747840.

The previous prime is 670553417. The next prime is 670553447. The reversal of 670553442 is 244355076.

670553442 is a `hidden beast` number, since 67 + 0 + 553 + 4 + 42 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 169286121 + 501267321 = 13011^2 + 22389^2 .

It is a junction number, because it is equal to n+sod(n) for n = 670553397 and 670553406.

It is not an unprimeable number, because it can be changed into a prime (670553447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 354034 + ... + 355922.

Almost surely, 2670553442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 670553442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823488120).

670553442 is an abundant number, since it is smaller than the sum of its proper divisors (976422798).

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

670553442 is a wasteful number, since it uses less digits than its factorization.

670553442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 670553442 is about 25895.0466691991. The cubic root of 670553442 is about 875.2748815824.

The spelling of 670553442 in words is "six hundred seventy million, five hundred fifty-three thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 37 39 41 74 78 82 111 117 123 222 234 246 333 369 481 533 666 738 962 1066 1443 1517 1599 1889 2886 3034 3198 3778 4329 4551 4797 5667 8658 9102 9594 11334 13653 17001 19721 24557 27306 34002 39442 49114 59163 69893 73671 77449 118326 139786 147342 154898 177489 209679 221013 232347 354978 419358 442026 464694 629037 697041 908609 1006837 1258074 1394082 1817218 2013674 2725827 2865613 3020511 5451654 5731226 6041022 8177481 8596839 9061533 16354962 17193678 18123066 25790517 37252969 51581034 74505938 111758907 223517814 335276721 670553442