Search a number
-
+
99840640 = 275732137
BaseRepresentation
bin1011111001101…
…11001010000000
320221212102121111
411330313022000
5201024400030
613523533104
72321426404
oct574671200
9227772544
1099840640
11513a2829
122952a194
13178b9103
14d38d104
158b7262a
hex5f37280

99840640 has 64 divisors (see below), whose sum is σ = 242064360. Its totient is φ = 39370752.

The previous prime is 99840623. The next prime is 99840647. The reversal of 99840640 is 4604899.

It can be written as a sum of positive squares in 4 ways, for example, as 56911936 + 42928704 = 7544^2 + 6552^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 99840593 and 99840602.

It is not an unprimeable number, because it can be changed into a prime (99840647) 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 7 ways as a sum of consecutive naturals, for example, 45652 + ... + 47788.

Almost surely, 299840640 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 99840640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121032180).

99840640 is an abundant number, since it is smaller than the sum of its proper divisors (142223720).

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

99840640 is a wasteful number, since it uses less digits than its factorization.

99840640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2229 (or 2217 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 99840640 is about 9992.0288230169. The cubic root of 99840640 is about 463.9121910730.

The spelling of 99840640 in words is "ninety-nine million, eight hundred forty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 73 80 128 146 160 292 320 365 584 640 730 1168 1460 2137 2336 2920 4274 4672 5840 8548 9344 10685 11680 17096 21370 23360 34192 42740 46720 68384 85480 136768 156001 170960 273536 312002 341920 624004 683840 780005 1248008 1367680 1560010 2496016 3120020 4992032 6240040 9984064 12480080 19968128 24960160 49920320 99840640