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30150144 = 2934727
BaseRepresentation
bin111001100000…
…0111000000000
32002201210020000
41303000320000
530204301034
62554120000
7514162203
oct163007000
962653200
1030150144
1116023282
12a120000
13632842b
14400b93a
1529a8599
hex1cc0e00

30150144 has 100 divisors (see below), whose sum is σ = 90114024. Its totient is φ = 10036224.

The previous prime is 30150103. The next prime is 30150157. The reversal of 30150144 is 44105103.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 41109 + ... + 41835.

Almost surely, 230150144 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 30150144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45057012).

30150144 is an abundant number, since it is smaller than the sum of its proper divisors (59963880).

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

30150144 is an frugal number, since it uses more digits than its factorization.

30150144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 30150144 is about 5490.9146779020. The cubic root of 30150144 is about 311.2407574553.

Adding to 30150144 its reverse (44105103), we get a palindrome (74255247).

The spelling of 30150144 in words is "thirty million, one hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 727 768 864 1152 1296 1454 1536 1728 2181 2304 2592 2908 3456 4362 4608 5184 5816 6543 6912 8724 10368 11632 13086 13824 17448 19629 20736 23264 26172 34896 39258 41472 46528 52344 58887 69792 78516 93056 104688 117774 139584 157032 186112 209376 235548 279168 314064 372224 418752 471096 558336 628128 837504 942192 1116672 1256256 1675008 1884384 2512512 3350016 3768768 5025024 7537536 10050048 15075072 30150144