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1395800028 = 22327171671951
BaseRepresentation
bin101001100110010…
…0011011111011100
310121021102222200100
41103030203133130
510324311100103
6350300501100
746406050560
oct12314433734
93537388610
101395800028
11656990247
1232b54a790
1319323ab9c
14d353b6a0
15828155a3
hex533237dc

1395800028 has 144 divisors (see below), whose sum is σ = 4297273344. Its totient is φ = 372902400.

The previous prime is 1395799949. The next prime is 1395800051. The reversal of 1395800028 is 8200085931.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1395799965 and 1395800001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 714453 + ... + 716403.

It is an arithmetic number, because the mean of its divisors is an integer number (29842176).

Almost surely, 21395800028 is an apocalyptic number.

1395800028 is a gapful number since it is divisible by the number (18) 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 1395800028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148636672).

1395800028 is an abundant number, since it is smaller than the sum of its proper divisors (2901473316).

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

1395800028 is a wasteful number, since it uses less digits than its factorization.

1395800028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1395800028 is about 37360.4072247613. The cubic root of 1395800028 is about 1117.5691400550.

Adding to 1395800028 its reverse (8200085931), we get a palindrome (9595885959).

The spelling of 1395800028 in words is "one billion, three hundred ninety-five million, eight hundred thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 167 204 238 252 306 334 357 476 501 612 668 714 1002 1071 1169 1428 1503 1951 2004 2142 2338 2839 3006 3507 3902 4284 4676 5678 5853 6012 7014 7804 8517 10521 11356 11706 13657 14028 17034 17559 19873 21042 23412 25551 27314 33167 34068 35118 39746 40971 42084 51102 54628 59619 66334 70236 79492 81942 99501 102204 119238 122913 132668 163884 178857 199002 232169 238476 245826 298503 325817 357714 398004 464338 491652 597006 651634 696507 715428 928676 977451 1194012 1303268 1393014 1954902 2089521 2280719 2786028 2932353 3909804 4179042 4561438 5538889 5864706 6842157 8358084 9122876 11077778 11729412 13684314 16616667 20526471 22155556 27368628 33233334 38772223 41052942 49850001 66466668 77544446 82105884 99700002 116316669 155088892 199400004 232633338 348950007 465266676 697900014 1395800028