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10055034 = 23211431181
BaseRepresentation
bin100110010110…
…110101111010
3200220211220200
4212112311322
510033230114
6555303030
7151315653
oct46266572
920824820
1010055034
115748550
12344aa76
132110932
14149a52a
15d39409
hex996d7a

10055034 has 48 divisors (see below), whose sum is σ = 24339744. Its totient is φ = 2973600.

The previous prime is 10055033. The next prime is 10055051. The reversal of 10055034 is 43055001.

It is a super-2 number, since 2×100550342 = 202207417482312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10054998 and 10055016.

It is not an unprimeable number, because it can be changed into a prime (10055033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7924 + ... + 9104.

It is an arithmetic number, because the mean of its divisors is an integer number (507078).

Almost surely, 210055034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10055034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12169872).

10055034 is an abundant number, since it is smaller than the sum of its proper divisors (14284710).

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

10055034 is a wasteful number, since it uses less digits than its factorization.

10055034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 10055034 is about 3170.9673602861. The cubic root of 10055034 is about 215.8379700492.

The spelling of 10055034 in words is "ten million, fifty-five thousand, thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 43 66 86 99 129 198 258 387 473 774 946 1181 1419 2362 2838 3543 4257 7086 8514 10629 12991 21258 25982 38973 50783 77946 101566 116919 152349 233838 304698 457047 558613 914094 1117226 1675839 3351678 5027517 10055034