Search a number
-
+
30819760 = 2451912017
BaseRepresentation
bin111010110010…
…0010110110000
32010222210202121
41311210112300
530342213020
63020324024
7522651346
oct165442660
963883677
1030819760
1116440384
12a3a3614
13650115a
144143996
152a8bbaa
hex1d645b0

30819760 has 40 divisors (see below), whose sum is σ = 72066816. Its totient is φ = 12257280.

The previous prime is 30819749. The next prime is 30819769. The reversal of 30819760 is 6791803.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (30819769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14272 + ... + 16288.

Almost surely, 230819760 is an apocalyptic number.

It is an amenable number.

30819760 is an abundant number, since it is smaller than the sum of its proper divisors (41247056).

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

30819760 is a wasteful number, since it uses less digits than its factorization.

30819760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2221 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 30819760 is about 5551.5547371885. The cubic root of 30819760 is about 313.5280616435.

The spelling of 30819760 in words is "thirty million, eight hundred nineteen thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 191 382 764 955 1528 1910 2017 3056 3820 4034 7640 8068 10085 15280 16136 20170 32272 40340 80680 161360 385247 770494 1540988 1926235 3081976 3852470 6163952 7704940 15409880 30819760