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42660630 = 23252337557
BaseRepresentation
bin1010001010111…
…1001100010110
32222021101101100
42202233030112
541410120010
64122210530
71025416005
oct242571426
988241340
1042660630
1122098621
1212353a46
138ab889c
145946c3c
153b2a2c0
hex28af316

42660630 has 96 divisors (see below), whose sum is σ = 119081664. Its totient is φ = 10568448.

The previous prime is 42660571. The next prime is 42660641. The reversal of 42660630 is 3606624.

42660630 is a `hidden beast` number, since 4 + 26 + 6 + 0 + 630 = 666.

42660630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42660594 and 42660603.

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 47 ways as a sum of consecutive naturals, for example, 76312 + ... + 76868.

It is an arithmetic number, because the mean of its divisors is an integer number (1240434).

Almost surely, 242660630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42660630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59540832).

42660630 is an abundant number, since it is smaller than the sum of its proper divisors (76421034).

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

42660630 is a wasteful number, since it uses less digits than its factorization.

42660630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 42660630 is about 6531.5105450424. The cubic root of 42660630 is about 349.4157053858.

The spelling of 42660630 in words is "forty-two million, six hundred sixty thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 37 45 46 69 74 90 111 115 138 185 207 222 230 333 345 370 414 555 557 666 690 851 1035 1110 1114 1665 1671 1702 2070 2553 2785 3330 3342 4255 5013 5106 5570 7659 8355 8510 10026 12765 12811 15318 16710 20609 25065 25530 25622 38295 38433 41218 50130 61827 64055 76590 76866 103045 115299 123654 128110 185481 192165 206090 230598 309135 370962 384330 474007 576495 618270 927405 948014 1152990 1422021 1854810 2370035 2844042 4266063 4740070 7110105 8532126 14220210 21330315 42660630