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42110010 = 2335236781
BaseRepresentation
bin1010000010100…
…0110000111010
32221020102002000
42200220300322
541240010020
64102321430
71020633465
oct240506072
987212060
1042110010
1121851968
1212129276
138955087
1458422dc
153a6c090
hex2828c3a

42110010 has 64 divisors (see below), whose sum is σ = 117192960. Its totient is φ = 10739520.

The previous prime is 42109999. The next prime is 42110017. The reversal of 42110010 is 1001124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 42109974 and 42110001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42110017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2820 + ... + 9600.

It is an arithmetic number, because the mean of its divisors is an integer number (1831140).

Almost surely, 242110010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42110010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58596480).

42110010 is an abundant number, since it is smaller than the sum of its proper divisors (75082950).

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

42110010 is a wasteful number, since it uses less digits than its factorization.

42110010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6820 (or 6814 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 42110010 is about 6489.2226036714. Note that the first 3 decimals coincide. The cubic root of 42110010 is about 347.9058901288.

Adding to 42110010 its reverse (1001124), we get a palindrome (43111134).

The spelling of 42110010 in words is "forty-two million, one hundred ten thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 115 135 138 207 230 270 345 414 621 690 1035 1242 2070 3105 6210 6781 13562 20343 33905 40686 61029 67810 101715 122058 155963 183087 203430 305145 311926 366174 467889 610290 779815 915435 935778 1403667 1559630 1830870 2339445 2807334 4211001 4678890 7018335 8422002 14036670 21055005 42110010