Search a number
-
+
30361760 = 25511131327
BaseRepresentation
bin111001111010…
…0100010100000
32010010112111122
41303310202200
530233034020
63002431412
7516033152
oct163644240
963115448
1030361760
1116158270
12a202568
1363a0850
144064ad2
1529eb125
hex1cf48a0

30361760 has 96 divisors (see below), whose sum is σ = 84333312. Its totient is φ = 10183680.

The previous prime is 30361757. The next prime is 30361777. The reversal of 30361760 is 6716303.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

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 15 ways as a sum of consecutive naturals, for example, 22217 + ... + 23543.

It is an arithmetic number, because the mean of its divisors is an integer number (878472).

Almost surely, 230361760 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 30361760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42166656).

30361760 is an abundant number, since it is smaller than the sum of its proper divisors (53971552).

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

30361760 is a wasteful number, since it uses less digits than its factorization.

30361760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 26.

The square root of 30361760 is about 5510.1506331497. The cubic root of 30361760 is about 311.9672330261.

The spelling of 30361760 in words is "thirty million, three hundred sixty-one thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 65 80 88 104 110 130 143 160 176 208 220 260 286 352 416 440 520 572 715 880 1040 1144 1327 1430 1760 2080 2288 2654 2860 4576 5308 5720 6635 10616 11440 13270 14597 17251 21232 22880 26540 29194 34502 42464 53080 58388 69004 72985 86255 106160 116776 138008 145970 172510 189761 212320 233552 276016 291940 345020 379522 467104 552032 583880 690040 759044 948805 1167760 1380080 1518088 1897610 2335520 2760160 3036176 3795220 6072352 7590440 15180880 30361760