Search a number
-
+
15247080 = 23325411033
BaseRepresentation
bin111010001010…
…011011101000
31001200122001200
4322022123220
512400401310
61302444200
7243412062
oct72123350
931618050
1015247080
1186743a2
125133660
13320ac54
14204c732
1515129c0
hexe8a6e8

15247080 has 96 divisors (see below), whose sum is σ = 50810760. Its totient is φ = 3962880.

The previous prime is 15247073. The next prime is 15247081. The reversal of 15247080 is 8074251.

15247080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12404484 + 2842596 = 3522^2 + 1686^2 .

It is not an unprimeable number, because it can be changed into a prime (15247081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14244 + ... + 15276.

Almost surely, 215247080 is an apocalyptic number.

15247080 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 15247080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25405380).

15247080 is an abundant number, since it is smaller than the sum of its proper divisors (35563680).

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

15247080 is a wasteful number, since it uses less digits than its factorization.

15247080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 15247080 is about 3904.7509523656. The cubic root of 15247080 is about 247.9679545830.

The spelling of 15247080 in words is "fifteen million, two hundred forty-seven thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 41 45 60 72 82 90 120 123 164 180 205 246 328 360 369 410 492 615 738 820 984 1033 1230 1476 1640 1845 2066 2460 2952 3099 3690 4132 4920 5165 6198 7380 8264 9297 10330 12396 14760 15495 18594 20660 24792 30990 37188 41320 42353 46485 61980 74376 84706 92970 123960 127059 169412 185940 211765 254118 338824 371880 381177 423530 508236 635295 762354 847060 1016472 1270590 1524708 1694120 1905885 2541180 3049416 3811770 5082360 7623540 15247080