Search a number
-
+
30504768 = 263722697
BaseRepresentation
bin111010001011…
…1011101000000
32010101210200020
41310113131000
530302123033
63005453440
7520200120
oct164273500
963353606
1030504768
1116245758
12a271280
136420978
1440a0c80
152a286b3
hex1d17740

30504768 has 56 divisors (see below), whose sum is σ = 92244672. Its totient is φ = 8715264.

The previous prime is 30504763. The next prime is 30504769. The reversal of 30504768 is 86740503.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30504763) 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, 10005 + ... + 12692.

Almost surely, 230504768 is an apocalyptic number.

It is an amenable number.

30504768 is an abundant number, since it is smaller than the sum of its proper divisors (61739904).

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

30504768 is a wasteful number, since it uses less digits than its factorization.

30504768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22719 (or 22709 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 30504768 is about 5523.1121661614. The cubic root of 30504768 is about 312.4562686538.

The spelling of 30504768 in words is "thirty million, five hundred four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 22697 45394 68091 90788 136182 158879 181576 272364 317758 363152 476637 544728 635516 726304 953274 1089456 1271032 1452608 1906548 2178912 2542064 3813096 4357824 5084128 7626192 10168256 15252384 30504768