Search a number
-
+
95043780 = 22345134513
BaseRepresentation
bin1011010101001…
…00000011000100
320121211201120000
411222210003010
5143312400110
613233041300
72232600366
oct552440304
9217751500
1095043780
1149716887
12279b6230
13168c9930
14c8a0d36
1585261c0
hex5aa40c4

95043780 has 120 divisors (see below), whose sum is σ = 321162072. Its totient is φ = 23390208.

The previous prime is 95043763. The next prime is 95043791. The reversal of 95043780 is 8734059.

It can be written as a sum of positive squares in 4 ways, for example, as 6081156 + 88962624 = 2466^2 + 9432^2 .

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

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, 18804 + ... + 23316.

Almost surely, 295043780 is an apocalyptic number.

95043780 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 95043780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160581036).

95043780 is an abundant number, since it is smaller than the sum of its proper divisors (226118292).

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

95043780 is a wasteful number, since it uses less digits than its factorization.

95043780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4547 (or 4536 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 95043780 is about 9749.0399527338. The cubic root of 95043780 is about 456.3603453628.

The spelling of 95043780 in words is "ninety-five million, forty-three thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 260 270 324 351 390 405 468 540 585 702 780 810 1053 1170 1404 1620 1755 2106 2340 3510 4212 4513 5265 7020 9026 10530 13539 18052 21060 22565 27078 40617 45130 54156 58669 67695 81234 90260 117338 121851 135390 162468 176007 203085 234676 243702 270780 293345 352014 365553 406170 487404 528021 586690 609255 704028 731106 812340 880035 1056042 1173380 1218510 1462212 1584063 1760070 1827765 2112084 2437020 2640105 3168126 3520140 3655530 4752189 5280210 6336252 7311060 7920315 9504378 10560420 15840630 19008756 23760945 31681260 47521890 95043780