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30152640 = 263572641
BaseRepresentation
bin111001100000…
…1011111000000
32002201220122110
41303001133000
530204341030
62554135320
7514202400
oct163013700
962656573
1030152640
1116025141
12a121540
1363295cb
14400c800
1529a91b0
hex1cc17c0

30152640 has 168 divisors, whose sum is σ = 111538512. Its totient is φ = 6881280.

The previous prime is 30152621. The next prime is 30152653. The reversal of 30152640 is 4625103.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 46720 + ... + 47360.

Almost surely, 230152640 is an apocalyptic number.

30152640 is a gapful number since it is divisible by the number (30) 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 30152640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55769256).

30152640 is an abundant number, since it is smaller than the sum of its proper divisors (81385872).

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

30152640 is a wasteful number, since it uses less digits than its factorization.

30152640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 30152640 is about 5491.1419577352. The cubic root of 30152640 is about 311.2493459769.

Adding to 30152640 its reverse (4625103), we get a palindrome (34777743).

The spelling of 30152640 in words is "thirty million, one hundred fifty-two thousand, six hundred forty".