Search a number
-
+
8001390 = 2351729541
BaseRepresentation
bin11110100001011101101110
3120001111211210
4132201131232
54022021030
6443255250
7125003445
oct36413556
916044753
108001390
114575621
12281a526
131871c67
1410c3d5c
15a80bb0
hex7a176e

8001390 has 64 divisors (see below), whose sum is σ = 21072960. Its totient is φ = 1935360.

The previous prime is 8001359. The next prime is 8001491. The reversal of 8001390 is 931008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14520 + ... + 15060.

It is an arithmetic number, because the mean of its divisors is an integer number (329265).

Almost surely, 28001390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8001390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10536480).

8001390 is an abundant number, since it is smaller than the sum of its proper divisors (13071570).

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

8001390 is a wasteful number, since it uses less digits than its factorization.

8001390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597.

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 8001390 is about 2828.6728336801. The cubic root of 8001390 is about 200.0115826625.

Adding to 8001390 its reverse (931008), we get a palindrome (8932398).

The spelling of 8001390 in words is "eight million, one thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 15 17 29 30 34 51 58 85 87 102 145 170 174 255 290 435 493 510 541 870 986 1082 1479 1623 2465 2705 2958 3246 4930 5410 7395 8115 9197 14790 15689 16230 18394 27591 31378 45985 47067 55182 78445 91970 94134 137955 156890 235335 266713 275910 470670 533426 800139 1333565 1600278 2667130 4000695 8001390