[go: up one dir, main page]

Search a number
-
+
30750480 = 2432542709
BaseRepresentation
bin111010101001…
…1011100010000
32010212021201200
41311103130100
530333003410
63015031200
7522242355
oct165233420
963767650
1030750480
11163a3322
12a36b500
1364a8767
14412662c
152a763c0
hex1d53710

30750480 has 60 divisors (see below), whose sum is σ = 103272780. Its totient is φ = 8199936.

The previous prime is 30750463. The next prime is 30750487. The reversal of 30750480 is 8405703.

It can be written as a sum of positive squares in 2 ways, for example, as 9072144 + 21678336 = 3012^2 + 4656^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30750487) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20635 + ... + 22074.

It is an arithmetic number, because the mean of its divisors is an integer number (1721213).

Almost surely, 230750480 is an apocalyptic number.

30750480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30750480 is an abundant number, since it is smaller than the sum of its proper divisors (72522300).

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

30750480 is a wasteful number, since it uses less digits than its factorization.

30750480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42728 (or 42719 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 30750480 is about 5545.3115331783. The cubic root of 30750480 is about 313.2929579282.

The spelling of 30750480 in words is "thirty million, seven hundred fifty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 42709 85418 128127 170836 213545 256254 341672 384381 427090 512508 640635 683344 768762 854180 1025016 1281270 1537524 1708360 1921905 2050032 2562540 3075048 3416720 3843810 5125080 6150096 7687620 10250160 15375240 30750480