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95000040 = 23345109269
BaseRepresentation
bin1011010100110…
…01010111101000
320121202111120000
411222121113220
5143310000130
613232103000
72232326022
oct552312750
9217674500
1095000040
1149696a33
1227994a60
13168b2a55
14c88d012
158518260
hex5a995e8

95000040 has 160 divisors (see below), whose sum is σ = 323433000. Its totient is φ = 25007616.

The previous prime is 95000033. The next prime is 95000041. The reversal of 95000040 is 4000059.

It can be written as a sum of positive squares in 4 ways, for example, as 62441604 + 32558436 = 7902^2 + 5706^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 94999977 and 95000022.

It is not an unprimeable number, because it can be changed into a prime (95000041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 353026 + ... + 353294.

Almost surely, 295000040 is an apocalyptic number.

95000040 is a gapful number since it is divisible by the number (90) 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 95000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161716500).

95000040 is an abundant number, since it is smaller than the sum of its proper divisors (228432960).

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

95000040 is a wasteful number, since it uses less digits than its factorization.

95000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 95000040 is about 9746.7963967655. The cubic root of 95000040 is about 456.2903275794.

Adding to 95000040 its reverse (4000059), we get a palindrome (99000099).

The spelling of 95000040 in words is "ninety-five million, forty", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 109 120 135 162 180 216 218 269 270 324 327 360 405 436 538 540 545 648 654 807 810 872 981 1076 1080 1090 1308 1345 1614 1620 1635 1962 2152 2180 2421 2616 2690 2943 3228 3240 3270 3924 4035 4360 4842 4905 5380 5886 6456 6540 7263 7848 8070 8829 9684 9810 10760 11772 12105 13080 14526 14715 16140 17658 19368 19620 21789 23544 24210 29052 29321 29430 32280 35316 36315 39240 43578 44145 48420 58104 58642 58860 70632 72630 87156 87963 88290 96840 108945 117284 117720 145260 146605 174312 175926 176580 217890 234568 263889 290520 293210 351852 353160 435780 439815 527778 586420 703704 791667 871560 879630 1055556 1172840 1319445 1583334 1759260 2111112 2375001 2638890 3166668 3518520 3958335 4750002 5277780 6333336 7916670 9500004 10555560 11875005 15833340 19000008 23750010 31666680 47500020 95000040