Search a number
-
+
15070380 = 2235131392
BaseRepresentation
bin111001011111…
…010010101100
31001100122200020
4321133102230
512324223010
61255002140
7242044653
oct71372254
931318606
1015070380
118563666
125069350
1331786b0
14200419a
1514ca470
hexe5f4ac

15070380 has 72 divisors (see below), whose sum is σ = 45772272. Its totient is φ = 3682944.

The previous prime is 15070379. The next prime is 15070387. The reversal of 15070380 is 8307051.

It is a self number, because there is not a number n which added to its sum of digits gives 15070380.

It is not an unprimeable number, because it can be changed into a prime (15070387) 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, 108351 + ... + 108489.

It is an arithmetic number, because the mean of its divisors is an integer number (635726).

Almost surely, 215070380 is an apocalyptic number.

15070380 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 15070380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22886136).

15070380 is an abundant number, since it is smaller than the sum of its proper divisors (30701892).

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

15070380 is a wasteful number, since it uses less digits than its factorization.

15070380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 15070380 is about 3882.0587321678. The cubic root of 15070380 is about 247.0063213099.

The spelling of 15070380 in words is "fifteen million, seventy thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 139 156 195 260 278 390 417 556 695 780 834 1390 1668 1807 2085 2780 3614 4170 5421 7228 8340 9035 10842 18070 19321 21684 27105 36140 38642 54210 57963 77284 96605 108420 115926 193210 231852 251173 289815 386420 502346 579630 753519 1004692 1159260 1255865 1507038 2511730 3014076 3767595 5023460 7535190 15070380