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30087464 = 2311536451
BaseRepresentation
bin111001011000…
…1100100101000
32002121121020112
41302301210220
530200244324
62552513452
7513511361
oct162614450
962547215
1030087464
1115a90180
12a0ab888
136305a44
143dd2b68
152994c0e
hex1cb1928

30087464 has 32 divisors (see below), whose sum is σ = 62713440. Its totient is φ = 13416000.

The previous prime is 30087403. The next prime is 30087503. The reversal of 30087464 is 46478003.

It is a happy number.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 30087464.

It is an unprimeable number.

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, 1439 + ... + 7889.

It is an arithmetic number, because the mean of its divisors is an integer number (1959795).

Almost surely, 230087464 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 30087464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31356720).

30087464 is an abundant number, since it is smaller than the sum of its proper divisors (32625976).

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

30087464 is a wasteful number, since it uses less digits than its factorization.

30087464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6521 (or 6517 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 30087464 is about 5485.2040982994. The cubic root of 30087464 is about 311.0249253707.

The spelling of 30087464 in words is "thirty million, eighty-seven thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 22 44 53 88 106 212 424 583 1166 2332 4664 6451 12902 25804 51608 70961 141922 283844 341903 567688 683806 1367612 2735224 3760933 7521866 15043732 30087464