Search a number
-
+
1395030 = 235721373
BaseRepresentation
bin101010100100101010110
32121212121210
411110211112
5324120110
645522250
714600100
oct5244526
92555553
101395030
1187311a
12573386
1339ac80
14284570
151c8520
hex154956

1395030 has 96 divisors (see below), whose sum is σ = 4251744. Its totient is φ = 290304.

The previous prime is 1395029. The next prime is 1395047. The reversal of 1395030 is 305931.

1395030 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It is a super-2 number, since 2×13950302 = 3892217401800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1394988 and 1395006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19074 + ... + 19146.

It is an arithmetic number, because the mean of its divisors is an integer number (44289).

21395030 is an apocalyptic number.

1395030 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 1395030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2125872).

1395030 is an abundant number, since it is smaller than the sum of its proper divisors (2856714).

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

1395030 is a wasteful number, since it uses less digits than its factorization.

1395030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 21.

The square root of 1395030 is about 1181.1138810462. The cubic root of 1395030 is about 111.7363590595.

1395030 divided by its sum of digits (21) gives a triangular number (66430 = T364).

The spelling of 1395030 in words is "one million, three hundred ninety-five thousand, thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 49 65 70 73 78 91 98 105 130 146 147 182 195 210 219 245 273 294 365 390 438 455 490 511 546 637 730 735 910 949 1022 1095 1274 1365 1470 1533 1898 1911 2190 2555 2730 2847 3066 3185 3577 3822 4745 5110 5694 6370 6643 7154 7665 9490 9555 10731 13286 14235 15330 17885 19110 19929 21462 28470 33215 35770 39858 46501 53655 66430 93002 99645 107310 139503 199290 232505 279006 465010 697515 1395030