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41067630 = 23251992293
BaseRepresentation
bin1001110010101…
…0010001101110
32212021110012100
42130222101232
541003131010
64024115530
71006032462
oct234522156
985243170
1041067630
11211aa79a
1211905ba6
13867b796
1456504a2
1539132c0
hex272a46e

41067630 has 48 divisors (see below), whose sum is σ = 107359200. Its totient is φ = 10891584.

The previous prime is 41067619. The next prime is 41067643. The reversal of 41067630 is 3676014.

41067630 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 = 41067594 and 41067603.

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 23 ways as a sum of consecutive naturals, for example, 16764 + ... + 19056.

It is an arithmetic number, because the mean of its divisors is an integer number (2236650).

Almost surely, 241067630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41067630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53679600).

41067630 is an abundant number, since it is smaller than the sum of its proper divisors (66291570).

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

41067630 is a wasteful number, since it uses less digits than its factorization.

41067630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505 (or 2502 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 41067630 is about 6408.4030772104. The cubic root of 41067630 is about 345.0112157664.

The spelling of 41067630 in words is "forty-one million, sixty-seven thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 199 398 597 995 1194 1791 1990 2293 2985 3582 4586 5970 6879 8955 11465 13758 17910 20637 22930 34395 41274 68790 103185 206370 456307 912614 1368921 2281535 2737842 4106763 4563070 6844605 8213526 13689210 20533815 41067630