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30420656 = 247475779
BaseRepresentation
bin111010000001…
…0111010110000
32010020112021222
41310002322300
530241430111
63004004212
7516366650
oct164027260
963215258
1030420656
1116198542
12a230668
1363c15b6
14407c360
152a0d7db
hex1d02eb0

30420656 has 40 divisors (see below), whose sum is σ = 68805120. Its totient is φ = 12757824.

The previous prime is 30420619. The next prime is 30420659. The reversal of 30420656 is 65602403.

It is a super-2 number, since 2×304206562 = 1850832622940672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30420659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2375 + ... + 8153.

It is an arithmetic number, because the mean of its divisors is an integer number (1720128).

Almost surely, 230420656 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 30420656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34402560).

30420656 is an abundant number, since it is smaller than the sum of its proper divisors (38384464).

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

30420656 is a wasteful number, since it uses less digits than its factorization.

30420656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5841 (or 5835 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 30420656 is about 5515.4923624279. The cubic root of 30420656 is about 312.1688216308.

The spelling of 30420656 in words is "thirty million, four hundred twenty thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 47 56 94 112 188 329 376 658 752 1316 2632 5264 5779 11558 23116 40453 46232 80906 92464 161812 271613 323624 543226 647248 1086452 1901291 2172904 3802582 4345808 7605164 15210328 30420656