Search a number
-
+
30387760 = 2451361479
BaseRepresentation
bin111001111101…
…0111000110000
32010011212011121
41303322320300
530234402020
63003152024
7516202024
oct163727060
963155147
1030387760
1116175857
12a215614
1363ac630
144070384
152a03baa
hex1cfae30

30387760 has 80 divisors (see below), whose sum is σ = 77495040. Its totient is φ = 11013120.

The previous prime is 30387757. The next prime is 30387793. The reversal of 30387760 is 6778303.

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

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, 63201 + ... + 63679.

It is an arithmetic number, because the mean of its divisors is an integer number (968688).

Almost surely, 230387760 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 30387760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38747520).

30387760 is an abundant number, since it is smaller than the sum of its proper divisors (47107280).

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

30387760 is a wasteful number, since it uses less digits than its factorization.

30387760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 34.

The square root of 30387760 is about 5512.5094104228. The cubic root of 30387760 is about 312.0562576617.

The spelling of 30387760 in words is "thirty million, three hundred eighty-seven thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 61 65 80 104 122 130 208 244 260 305 479 488 520 610 793 958 976 1040 1220 1586 1916 2395 2440 3172 3832 3965 4790 4880 6227 6344 7664 7930 9580 12454 12688 15860 19160 24908 29219 31135 31720 38320 49816 58438 62270 63440 99632 116876 124540 146095 233752 249080 292190 379847 467504 498160 584380 759694 1168760 1519388 1899235 2337520 3038776 3798470 6077552 7596940 15193880 30387760