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1995084 = 2233721329
BaseRepresentation
bin111100111000101001100
310202100202000
413213011030
51002320314
6110432300
722646400
oct7470514
93670660
101995084
111142a33
12802690
1354b130
1439d100
15296209
hex1e714c

1995084 has 144 divisors (see below), whose sum is σ = 6703200. Its totient is φ = 508032.

The previous prime is 1995083. The next prime is 1995107. The reversal of 1995084 is 4805991.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1995083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68782 + ... + 68810.

It is an arithmetic number, because the mean of its divisors is an integer number (46550).

21995084 is an apocalyptic number.

1995084 is a gapful number since it is divisible by the number (14) 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 1995084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3351600).

1995084 is an abundant number, since it is smaller than the sum of its proper divisors (4708116).

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

1995084 is a wasteful number, since it uses less digits than its factorization.

1995084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1995084 is about 1412.4744245472. The cubic root of 1995084 is about 125.8887907630. Note that the first 3 decimals are identical.

The spelling of 1995084 in words is "one million, nine hundred ninety-five thousand, eighty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 29 36 39 42 49 52 54 58 63 78 84 87 91 98 108 116 117 126 147 156 174 182 189 196 203 234 252 261 273 294 348 351 364 377 378 406 441 468 522 546 588 609 637 702 754 756 783 812 819 882 1044 1092 1131 1218 1274 1323 1404 1421 1508 1566 1638 1764 1827 1911 2262 2436 2457 2548 2639 2646 2842 3132 3276 3393 3654 3822 4263 4524 4914 5278 5292 5481 5684 5733 6786 7308 7644 7917 8526 9828 10179 10556 10962 11466 12789 13572 15834 17052 17199 18473 20358 21924 22932 23751 25578 31668 34398 36946 38367 40716 47502 51156 55419 68796 71253 73892 76734 95004 110838 142506 153468 166257 221676 285012 332514 498771 665028 997542 1995084