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96713000 = 2353175689
BaseRepresentation
bin1011100001110…
…11100100101000
320201222112021222
411300323210220
5144224304000
613332521212
72253022046
oct560734450
9221875258
1096713000
114a6569aa
1228480208
1317062637
14cbb7396
158755a85
hex5c3b928

96713000 has 64 divisors (see below), whose sum is σ = 239662800. Its totient is φ = 36403200.

The previous prime is 96712997. The next prime is 96713009. The reversal of 96713000 is 31769.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 32103556 + 64609444 = 5666^2 + 8038^2 .

It is not an unprimeable number, because it can be changed into a prime (96713009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14156 + ... + 19844.

Almost surely, 296713000 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 96713000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119831400).

96713000 is an abundant number, since it is smaller than the sum of its proper divisors (142949800).

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

96713000 is a wasteful number, since it uses less digits than its factorization.

96713000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5727 (or 5713 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 26.

The square root of 96713000 is about 9834.2767908983. The cubic root of 96713000 is about 459.0164872100.

Adding to 96713000 its reverse (31769), we get a palindrome (96744769).

The spelling of 96713000 in words is "ninety-six million, seven hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 1000 1700 2125 3400 4250 5689 8500 11378 17000 22756 28445 45512 56890 96713 113780 142225 193426 227560 284450 386852 483565 568900 711125 773704 967130 1137800 1422250 1934260 2417825 2844500 3868520 4835650 5689000 9671300 12089125 19342600 24178250 48356500 96713000