Search a number
-
+
30366720 = 210325659
BaseRepresentation
bin111001111010…
…1110000000000
32010010210022100
41303311300000
530233213340
63002510400
7516053466
oct163656000
963123270
1030366720
1116160a6a
12a205400
1363a2b97
144066836
1529ec830
hex1cf5c00

30366720 has 132 divisors (see below), whose sum is σ = 105379560. Its totient is φ = 8085504.

The previous prime is 30366719. The next prime is 30366757. The reversal of 30366720 is 2766303.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 45751 + ... + 46409.

It is an arithmetic number, because the mean of its divisors is an integer number (798330).

Almost surely, 230366720 is an apocalyptic number.

30366720 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 30366720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52689780).

30366720 is an abundant number, since it is smaller than the sum of its proper divisors (75012840).

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

30366720 is a wasteful number, since it uses less digits than its factorization.

30366720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 30366720 is about 5510.6006932094. The cubic root of 30366720 is about 311.9842201092.

The spelling of 30366720 in words is "thirty million, three hundred sixty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 659 720 768 960 1024 1152 1280 1318 1440 1536 1920 1977 2304 2560 2636 2880 3072 3295 3840 3954 4608 5120 5272 5760 5931 6590 7680 7908 9216 9885 10544 11520 11862 13180 15360 15816 19770 21088 23040 23724 26360 29655 31632 39540 42176 46080 47448 52720 59310 63264 79080 84352 94896 105440 118620 126528 158160 168704 189792 210880 237240 253056 316320 337408 379584 421760 474480 506112 632640 674816 759168 843520 948960 1012224 1265280 1518336 1687040 1897920 2024448 2530560 3036672 3374080 3795840 5061120 6073344 7591680 10122240 15183360 30366720