Search a number
-
+
30722560 = 295111091
BaseRepresentation
bin111010100110…
…0101000000000
32010210212102121
41311030220000
530331110220
63014254024
7522065101
oct165145000
963725377
1030722560
1116384350
12a357314
136498b3b
14411a3a8
152a6ceaa
hex1d4ca00

30722560 has 80 divisors (see below), whose sum is σ = 80432352. Its totient is φ = 11161600.

The previous prime is 30722521. The next prime is 30722567. The reversal of 30722560 is 6522703.

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

It is not an unprimeable number, because it can be changed into a prime (30722567) 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, 27615 + ... + 28705.

Almost surely, 230722560 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 30722560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40216176).

30722560 is an abundant number, since it is smaller than the sum of its proper divisors (49709792).

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

30722560 is a wasteful number, since it uses less digits than its factorization.

30722560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 30722560 is about 5542.7935195170. The cubic root of 30722560 is about 313.1981107577.

The spelling of 30722560 in words is "thirty million, seven hundred twenty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1091 1280 1408 1760 2182 2560 2816 3520 4364 5455 5632 7040 8728 10910 12001 14080 17456 21820 24002 28160 34912 43640 48004 60005 69824 87280 96008 120010 139648 174560 192016 240020 279296 349120 384032 480040 558592 698240 768064 960080 1396480 1536128 1920160 2792960 3072256 3840320 6144512 7680640 15361280 30722560