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95006640 = 2435503787
BaseRepresentation
bin1011010100110…
…10111110110000
320121202211121110
411222122332300
5143310203030
613232153320
72232354201
oct552327660
9217684543
1095006640
11496a0993
1227998840
13168b5a61
14c8915a8
15851a1b0
hex5a9afb0

95006640 has 80 divisors (see below), whose sum is σ = 295481088. Its totient is φ = 25252608.

The previous prime is 95006627. The next prime is 95006641. The reversal of 95006640 is 4660059.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 95006598 and 95006607.

It is not an unprimeable number, because it can be changed into a prime (95006641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120327 + ... + 121113.

Almost surely, 295006640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95006640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147740544).

95006640 is an abundant number, since it is smaller than the sum of its proper divisors (200474448).

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

95006640 is a wasteful number, since it uses less digits than its factorization.

95006640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 95006640 is about 9747.1349636701. The cubic root of 95006640 is about 456.3008940537.

Adding to 95006640 its reverse (4660059), we get a palindrome (99666699).

The spelling of 95006640 in words is "ninety-five million, six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 503 787 1006 1509 1574 2012 2361 2515 3018 3148 3935 4024 4722 5030 6036 6296 7545 7870 8048 9444 10060 11805 12072 12592 15090 15740 18888 20120 23610 24144 30180 31480 37776 40240 47220 60360 62960 94440 120720 188880 395861 791722 1187583 1583444 1979305 2375166 3166888 3958610 4750332 5937915 6333776 7917220 9500664 11875830 15834440 19001328 23751660 31668880 47503320 95006640