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30415164 = 22313241809
BaseRepresentation
bin111010000000…
…1100100111100
32010020020202120
41310001210330
530241241124
63003522540
7516344643
oct164014474
963206676
1030415164
11161943aa
12a229450
1363bbc50
14407a35a
152a0bd79
hex1d0193c

30415164 has 48 divisors (see below), whose sum is σ = 76839840. Its totient is φ = 9308160.

The previous prime is 30415141. The next prime is 30415169. The reversal of 30415164 is 46151403.

It is a super-2 number, since 2×304151642 = 1850164402293792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30415169) 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 15 ways as a sum of consecutive naturals, for example, 37192 + ... + 38000.

It is an arithmetic number, because the mean of its divisors is an integer number (1600830).

Almost surely, 230415164 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 30415164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38419920).

30415164 is an abundant number, since it is smaller than the sum of its proper divisors (46424676).

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

30415164 is a wasteful number, since it uses less digits than its factorization.

30415164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 30415164 is about 5514.9944696255. The cubic root of 30415164 is about 312.1500346773.

Adding to 30415164 its reverse (46151403), we get a palindrome (76566567).

The spelling of 30415164 in words is "thirty million, four hundred fifteen thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 241 482 723 809 964 1446 1618 2427 2892 3133 3236 4854 6266 9399 9708 10517 12532 18798 21034 31551 37596 42068 63102 126204 194969 389938 584907 779876 1169814 2339628 2534597 5069194 7603791 10138388 15207582 30415164