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30148000 = 25537537
BaseRepresentation
bin111001100000…
…0010110100000
32002201200021121
41303000112200
530204214000
62554102024
7514153021
oct163002640
962650247
1030148000
1116021703
12a11a914
13632746c
14400ac48
1529a7b1a
hex1cc05a0

30148000 has 48 divisors (see below), whose sum is σ = 74083464. Its totient is φ = 12057600.

The previous prime is 30147989. The next prime is 30148067. The reversal of 30148000 is 84103.

It can be written as a sum of positive squares in 4 ways, for example, as 7907344 + 22240656 = 2812^2 + 4716^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 232 + ... + 7768.

Almost surely, 230148000 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 30148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37041732).

30148000 is an abundant number, since it is smaller than the sum of its proper divisors (43935464).

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

30148000 is an equidigital number, since it uses as much as digits as its factorization.

30148000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7562 (or 7544 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 30148000 is about 5490.7194428417. The cubic root of 30148000 is about 311.2333797569.

It can be divided in two parts, 301 and 48000, that multiplied together give a triangular number (14448000 = T5375).

The spelling of 30148000 in words is "thirty million, one hundred forty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 7537 15074 30148 37685 60296 75370 120592 150740 188425 241184 301480 376850 602960 753700 942125 1205920 1507400 1884250 3014800 3768500 6029600 7537000 15074000 30148000