Search a number
-
+
95740920 = 23335118059
BaseRepresentation
bin1011011010011…
…10001111111000
320200011010212000
411231032033320
5144002202140
613300021000
72241533022
oct555161770
9220133760
1095740920
114a052630
1228091760
1316ab2042
14ca03012
158612a30
hex5b4e3f8

95740920 has 128 divisors (see below), whose sum is σ = 348192000. Its totient is φ = 23207040.

The previous prime is 95740907. The next prime is 95740921. The reversal of 95740920 is 2904759.

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 (95740921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7851 + ... + 15909.

It is an arithmetic number, because the mean of its divisors is an integer number (2720250).

Almost surely, 295740920 is an apocalyptic number.

95740920 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 95740920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174096000).

95740920 is an abundant number, since it is smaller than the sum of its proper divisors (252451080).

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

95740920 is a wasteful number, since it uses less digits than its factorization.

95740920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8090 (or 8080 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 95740920 is about 9784.7289180641. The cubic root of 95740920 is about 457.4734195791.

The spelling of 95740920 in words is "ninety-five million, seven hundred forty thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1188 1320 1485 1980 2376 2970 3960 5940 8059 11880 16118 24177 32236 40295 48354 64472 72531 80590 88649 96708 120885 145062 161180 177298 193416 217593 241770 265947 290124 322360 354596 362655 435186 443245 483540 531894 580248 709192 725310 797841 870372 886490 967080 1063788 1087965 1329735 1450620 1595682 1740744 1772980 2127576 2175930 2393523 2659470 2901240 3191364 3545960 3989205 4351860 4787046 5318940 6382728 7978410 8703720 9574092 10637880 11967615 15956820 19148184 23935230 31913640 47870460 95740920