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30405564 = 22337371087
BaseRepresentation
bin111001111111…
…1001110111100
32010012202121000
41303333032330
530240434224
63003410300
7516304650
oct163771674
963182530
1030405564
1116188172
12a223990
1363b7777
144076a60
152a090c9
hex1cff3bc

30405564 has 96 divisors (see below), whose sum is σ = 92610560. Its totient is φ = 8444736.

The previous prime is 30405547. The next prime is 30405577. The reversal of 30405564 is 46550403.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27429 + ... + 28515.

Almost surely, 230405564 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 30405564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46305280).

30405564 is an abundant number, since it is smaller than the sum of its proper divisors (62204996).

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

30405564 is a wasteful number, since it uses less digits than its factorization.

30405564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 30405564 is about 5514.1240464828. The cubic root of 30405564 is about 312.1171897049.

Adding to 30405564 its reverse (46550403), we get a palindrome (76955967).

The spelling of 30405564 in words is "thirty million, four hundred five thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 37 42 54 63 74 84 108 111 126 148 189 222 252 259 333 378 444 518 666 756 777 999 1036 1087 1332 1554 1998 2174 2331 3108 3261 3996 4348 4662 6522 6993 7609 9324 9783 13044 13986 15218 19566 22827 27972 29349 30436 39132 40219 45654 58698 68481 80438 91308 117396 120657 136962 160876 205443 241314 273924 281533 361971 410886 482628 563066 723942 821772 844599 1085913 1126132 1447884 1689198 2171826 2533797 3378396 4343652 5067594 7601391 10135188 15202782 30405564