Search a number
-
+
30087564 = 223131910151
BaseRepresentation
bin111001011000…
…1100110001100
32002121121101020
41302301212030
530200300224
62552514140
7513511563
oct162614614
962547336
1030087564
1115a90261
12a0ab950
136305ac0
143dd2bda
152994c79
hex1cb198c

30087564 has 48 divisors (see below), whose sum is σ = 79591680. Its totient is φ = 8769600.

The previous prime is 30087553. The next prime is 30087571. The reversal of 30087564 is 46578003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2112 + ... + 8039.

It is an arithmetic number, because the mean of its divisors is an integer number (1658160).

Almost surely, 230087564 is an apocalyptic number.

It is an amenable number.

30087564 is an abundant number, since it is smaller than the sum of its proper divisors (49504116).

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

30087564 is a wasteful number, since it uses less digits than its factorization.

30087564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10190 (or 10188 counting only the distinct ones).

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

The square root of 30087564 is about 5485.2132137229. The cubic root of 30087564 is about 311.0252699490.

The spelling of 30087564 in words is "thirty million, eighty-seven thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 494 741 988 1482 2964 10151 20302 30453 40604 60906 121812 131963 192869 263926 385738 395889 527852 578607 771476 791778 1157214 1583556 2314428 2507297 5014594 7521891 10029188 15043782 30087564