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30152144 = 2411672557
BaseRepresentation
bin111001100000…
…1010111010000
32002201212222002
41303001113100
530204332034
62554133132
7514201061
oct163012720
962655862
1030152144
1116024830
12a1211a8
136329309
14400c568
1529a8e7e
hex1cc15d0

30152144 has 40 divisors (see below), whose sum is σ = 64707168. Its totient is φ = 13495680.

The previous prime is 30152131. The next prime is 30152147. The reversal of 30152144 is 44125103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30152147) 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 7 ways as a sum of consecutive naturals, for example, 10514 + ... + 13070.

Almost surely, 230152144 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 30152144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32353584).

30152144 is an abundant number, since it is smaller than the sum of its proper divisors (34555024).

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

30152144 is a wasteful number, since it uses less digits than its factorization.

30152144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2643 (or 2637 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 30152144 is about 5491.0967939019. The cubic root of 30152144 is about 311.2476393212.

Adding to 30152144 its reverse (44125103), we get a palindrome (74277247).

The spelling of 30152144 in words is "thirty million, one hundred fifty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 67 88 134 176 268 536 737 1072 1474 2557 2948 5114 5896 10228 11792 20456 28127 40912 56254 112508 171319 225016 342638 450032 685276 1370552 1884509 2741104 3769018 7538036 15076072 30152144