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30365040 = 2435196659
BaseRepresentation
bin111001111010…
…1010101110000
32010010201000010
41303311111300
530233140130
63002454520
7516045546
oct163652560
963121003
1030365040
111615a782
12a204440
1363a21a4
144065d96
1529ec0b0
hex1cf5570

30365040 has 80 divisors (see below), whose sum is σ = 99100800. Its totient is φ = 7670016.

The previous prime is 30365039. The next prime is 30365053. The reversal of 30365040 is 4056303.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 30364998 and 30365016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1231 + ... + 7889.

It is an arithmetic number, because the mean of its divisors is an integer number (1238760).

Almost surely, 230365040 is an apocalyptic number.

30365040 is a gapful number since it is divisible by the number (30) 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 30365040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49550400).

30365040 is an abundant number, since it is smaller than the sum of its proper divisors (68735760).

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

30365040 is a wasteful number, since it uses less digits than its factorization.

30365040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6694 (or 6688 counting only the distinct ones).

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

The square root of 30365040 is about 5510.4482576284. The cubic root of 30365040 is about 311.9784666269.

The spelling of 30365040 in words is "thirty million, three hundred sixty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 6659 13318 19977 26636 33295 39954 53272 66590 79908 99885 106544 126521 133180 159816 199770 253042 266360 319632 379563 399540 506084 532720 632605 759126 799080 1012168 1265210 1518252 1598160 1897815 2024336 2530420 3036504 3795630 5060840 6073008 7591260 10121680 15182520 30365040