Search a number
-
+
1395263070 = 23452935879
BaseRepresentation
bin101001100101010…
…0000011001011110
310121020102201010000
41103022200121132
510324141404240
6350241155130
746401353235
oct12312403136
93536381100
101395263070
11656653883
1232b32baa6
131930b0666
14d343bb1c
158275b430
hex532a065e

1395263070 has 80 divisors (see below), whose sum is σ = 3765152160. Its totient is φ = 370737216.

The previous prime is 1395263047. The next prime is 1395263113. The reversal of 1395263070 is 703625931.

1395263070 is a `hidden beast` number, since 1 + 39 + 526 + 30 + 70 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 234391 + ... + 240269.

It is an arithmetic number, because the mean of its divisors is an integer number (47064402).

Almost surely, 21395263070 is an apocalyptic number.

1395263070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1395263070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882576080).

1395263070 is an abundant number, since it is smaller than the sum of its proper divisors (2369889090).

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

1395263070 is a wasteful number, since it uses less digits than its factorization.

1395263070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6191 (or 6182 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 1395263070 is about 37353.2203430976. The cubic root of 1395263070 is about 1117.4258137320.

The spelling of 1395263070 in words is "one billion, three hundred ninety-five million, two hundred sixty-three thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 293 405 586 810 879 1465 1758 2637 2930 4395 5274 5879 7911 8790 11758 13185 15822 17637 23733 26370 29395 35274 39555 47466 52911 58790 79110 88185 105822 118665 158733 176370 237330 264555 317466 476199 529110 793665 952398 1587330 1722547 2380995 3445094 4761990 5167641 8612735 10335282 15502923 17225470 25838205 31005846 46508769 51676410 77514615 93017538 139526307 155029230 232543845 279052614 465087690 697631535 1395263070