Search a number
-
+
95045940 = 223351116001
BaseRepresentation
bin1011010101001…
…00100100110100
320121211211112000
411222210210310
5143312432230
613233055300
72232606603
oct552444464
9217754460
1095045940
1149718470
12279b7530
13168ca902
14c8a1a3a
158526b60
hex5aa4934

95045940 has 96 divisors (see below), whose sum is σ = 322600320. Its totient is φ = 23040000.

The previous prime is 95045921. The next prime is 95045947. The reversal of 95045940 is 4954059.

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 = 95045895 and 95045904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95045947) 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, 2061 + ... + 13940.

It is an arithmetic number, because the mean of its divisors is an integer number (3360420).

Almost surely, 295045940 is an apocalyptic number.

95045940 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 95045940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161300160).

95045940 is an abundant number, since it is smaller than the sum of its proper divisors (227554380).

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

95045940 is a wasteful number, since it uses less digits than its factorization.

95045940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16030 (or 16022 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 95045940 is about 9749.1507322433. The cubic root of 95045940 is about 456.3638024745.

Adding to 95045940 its reverse (4954059), we get a palindrome (99999999).

The spelling of 95045940 in words is "ninety-five million, forty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 16001 32002 48003 64004 80005 96006 144009 160010 176011 192012 240015 288018 320020 352022 432027 480030 528033 576036 704044 720045 864054 880055 960060 1056066 1440090 1584099 1728108 1760110 2112132 2160135 2640165 2880180 3168198 3520220 4320270 4752297 5280330 6336396 7920495 8640540 9504594 10560660 15840990 19009188 23761485 31681980 47522970 95045940