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30145152 = 273292707
BaseRepresentation
bin111001011111…
…1101010000000
32002201112101010
41302333222000
530204121102
62554040520
7514141512
oct162775200
962645333
1030145152
111601a554
12a119140
13632608b
144009bb2
1529a6d6c
hex1cbfa80

30145152 has 64 divisors (see below), whose sum is σ = 82864800. Its totient is φ = 9698304.

The previous prime is 30145151. The next prime is 30145169. The reversal of 30145152 is 25154103.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (30145151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9783 + ... + 12489.

Almost surely, 230145152 is an apocalyptic number.

30145152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30145152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41432400).

30145152 is an abundant number, since it is smaller than the sum of its proper divisors (52719648).

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

30145152 is a wasteful number, since it uses less digits than its factorization.

30145152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2753 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 30145152 is about 5490.4600900107. The cubic root of 30145152 is about 311.2235789898.

Adding to 30145152 its reverse (25154103), we get a palindrome (55299255).

The spelling of 30145152 in words is "thirty million, one hundred forty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 348 384 464 696 928 1392 1856 2707 2784 3712 5414 5568 8121 10828 11136 16242 21656 32484 43312 64968 78503 86624 129936 157006 173248 235509 259872 314012 346496 471018 519744 628024 942036 1039488 1256048 1884072 2512096 3768144 5024192 7536288 10048384 15072576 30145152