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15230080 = 27553449
BaseRepresentation
bin111010000110…
…010010000000
31001122202202001
4322012102000
512344330310
61302233344
7243311365
oct72062200
931582661
1015230080
118662648
125125854
1332032a8
14204646c
15150c93a
hexe86480

15230080 has 64 divisors (see below), whose sum is σ = 37179000. Its totient is φ = 5963776.

The previous prime is 15230069. The next prime is 15230081. The reversal of 15230080 is 8003251.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 13957696 + 1272384 = 3736^2 + 1128^2 .

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 (15230081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33696 + ... + 34144.

Almost surely, 215230080 is an apocalyptic number.

15230080 is a gapful number since it is divisible by the number (10) 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 15230080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18589500).

15230080 is an abundant number, since it is smaller than the sum of its proper divisors (21948920).

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

15230080 is an equidigital number, since it uses as much as digits as its factorization.

15230080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 15230080 is about 3902.5735098778. The cubic root of 15230080 is about 247.8757615664.

The spelling of 15230080 in words is "fifteen million, two hundred thirty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 128 160 212 265 320 424 449 530 640 848 898 1060 1696 1796 2120 2245 3392 3592 4240 4490 6784 7184 8480 8980 14368 16960 17960 23797 28736 33920 35920 47594 57472 71840 95188 118985 143680 190376 237970 287360 380752 475940 761504 951880 1523008 1903760 3046016 3807520 7615040 15230080