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10076780 = 2257167431
BaseRepresentation
bin100110011100…
…001001101100
3200221221202002
4212130021230
510034424110
6555551432
7151436240
oct46341154
920857662
1010076780
11576291a
12345b578
13211a7bc
1414a4420
15d40aa5
hex99c26c

10076780 has 48 divisors (see below), whose sum is σ = 24385536. Its totient is φ = 3426240.

The previous prime is 10076779. The next prime is 10076789. The reversal of 10076780 is 8767001.

It is not an unprimeable number, because it can be changed into a prime (10076789) 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 15 ways as a sum of consecutive naturals, for example, 23165 + ... + 23595.

It is an arithmetic number, because the mean of its divisors is an integer number (508032).

Almost surely, 210076780 is an apocalyptic number.

10076780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10076780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12192768).

10076780 is an abundant number, since it is smaller than the sum of its proper divisors (14308756).

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

10076780 is a wasteful number, since it uses less digits than its factorization.

10076780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 29.

The square root of 10076780 is about 3174.3944304387. The cubic root of 10076780 is about 215.9934554487.

The spelling of 10076780 in words is "ten million, seventy-six thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 167 334 431 668 835 862 1169 1670 1724 2155 2338 3017 3340 4310 4676 5845 6034 8620 11690 12068 15085 23380 30170 60340 71977 143954 287908 359885 503839 719770 1007678 1439540 2015356 2519195 5038390 10076780