Search a number
-
+
45303060 = 22351183827
BaseRepresentation
bin1010110011010…
…0010100010100
310011020122010010
42230310110110
543044144220
64255000220
71060032615
oct254642424
9104218103
1045303060
1123632950
1213209070
13950255a
146033c0c
153e9d1e0
hex2b34514

45303060 has 96 divisors (see below), whose sum is σ = 140216832. Its totient is φ = 10837120.

The previous prime is 45303043. The next prime is 45303061. The reversal of 45303060 is 6030354.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45303061) 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 31 ways as a sum of consecutive naturals, for example, 54367 + ... + 55193.

It is an arithmetic number, because the mean of its divisors is an integer number (1460592).

Almost surely, 245303060 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 45303060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70108416).

45303060 is an abundant number, since it is smaller than the sum of its proper divisors (94913772).

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

45303060 is a wasteful number, since it uses less digits than its factorization.

45303060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 45303060 is about 6730.7547867977. The cubic root of 45303060 is about 356.4860276458.

The spelling of 45303060 in words is "forty-five million, three hundred three thousand, sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 83 110 132 165 166 220 249 330 332 415 498 660 827 830 913 996 1245 1654 1660 1826 2481 2490 2739 3308 3652 4135 4565 4962 4980 5478 8270 9097 9130 9924 10956 12405 13695 16540 18194 18260 24810 27291 27390 36388 45485 49620 54582 54780 68641 90970 109164 136455 137282 181940 205923 272910 274564 343205 411846 545820 686410 755051 823692 1029615 1372820 1510102 2059230 2265153 3020204 3775255 4118460 4530306 7550510 9060612 11325765 15101020 22651530 45303060