Search a number
-
+
30769040 = 2451392767
BaseRepresentation
bin111010101011…
…1111110010000
32010220020012002
41311113332100
530334102130
63015253132
7522350441
oct165277620
963806162
1030769040
1116406265
12a37a1a8
1364b4043
14412d2c8
152a7bb45
hex1d57f90

30769040 has 40 divisors (see below), whose sum is σ = 72078720. Its totient is φ = 12214656.

The previous prime is 30769033. The next prime is 30769049. The reversal of 30769040 is 4096703.

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

It is a junction number, because it is equal to n+sod(n) for n = 30768994 and 30769012.

It is not an unprimeable number, because it can be changed into a prime (30769049) 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, 9737 + ... + 12503.

It is an arithmetic number, because the mean of its divisors is an integer number (1801968).

Almost surely, 230769040 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 30769040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36039360).

30769040 is an abundant number, since it is smaller than the sum of its proper divisors (41309680).

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

30769040 is a wasteful number, since it uses less digits than its factorization.

30769040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2919 (or 2913 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 30769040 is about 5546.9847665196. The cubic root of 30769040 is about 313.3559764332.

The spelling of 30769040 in words is "thirty million, seven hundred sixty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 139 278 556 695 1112 1390 2224 2767 2780 5534 5560 11068 11120 13835 22136 27670 44272 55340 110680 221360 384613 769226 1538452 1923065 3076904 3846130 6153808 7692260 15384520 30769040