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10070676 = 22337211173
BaseRepresentation
bin100110011010…
…101010010100
3200221122101000
4212122222110
510034230201
6555503300
7151412400
oct46325224
920848330
1010070676
115759280
123457b30
132117aa5
1414a2100
15d3dd86
hex99aa94

10070676 has 144 divisors (see below), whose sum is σ = 33324480. Its totient is φ = 2600640.

The previous prime is 10070663. The next prime is 10070677. The reversal of 10070676 is 67607001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10070677) 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 47 ways as a sum of consecutive naturals, for example, 58126 + ... + 58298.

It is an arithmetic number, because the mean of its divisors is an integer number (231420).

Almost surely, 210070676 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 10070676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16662240).

10070676 is an abundant number, since it is smaller than the sum of its proper divisors (23253804).

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

10070676 is a wasteful number, since it uses less digits than its factorization.

10070676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 10070676 is about 3173.4328415771. The cubic root of 10070676 is about 215.9498340289.

Adding to 10070676 its reverse (67607001), we get a palindrome (77677677).

The spelling of 10070676 in words is "ten million, seventy thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 49 54 63 66 77 84 98 99 108 126 132 147 154 173 189 196 198 231 252 294 297 308 346 378 396 441 462 519 539 588 594 692 693 756 882 924 1038 1078 1188 1211 1323 1386 1557 1617 1764 1903 2076 2079 2156 2422 2646 2772 3114 3234 3633 3806 4158 4671 4844 4851 5292 5709 6228 6468 7266 7612 8316 8477 9342 9702 10899 11418 13321 14532 14553 16954 17127 18684 19404 21798 22836 25431 26642 29106 32697 33908 34254 39963 43596 50862 51381 53284 58212 65394 68508 76293 79926 93247 101724 102762 119889 130788 152586 159852 186494 205524 228879 239778 279741 305172 359667 372988 457758 479556 559482 719334 839223 915516 1118964 1438668 1678446 2517669 3356892 5035338 10070676