Search a number
-
+
99940064 = 257503887
BaseRepresentation
bin1011111010011…
…11011011100000
320222001110222212
411331033123200
5201041040224
613530021252
72322322310
oct575173340
9228043885
1099940064
11514604a4
1229577828
1317922443
14d3b7440
158b91d0e
hex5f4f6e0

99940064 has 48 divisors (see below), whose sum is σ = 225566208. Its totient is φ = 42698112.

The previous prime is 99940013. The next prime is 99940067. The reversal of 99940064 is 46004999.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99940067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112229 + ... + 113115.

It is an arithmetic number, because the mean of its divisors is an integer number (4699296).

Almost surely, 299940064 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 99940064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112783104).

99940064 is an abundant number, since it is smaller than the sum of its proper divisors (125626144).

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

99940064 is a wasteful number, since it uses less digits than its factorization.

99940064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 41.

The square root of 99940064 is about 9997.0027508249. The cubic root of 99940064 is about 464.0661320722.

The spelling of 99940064 in words is "ninety-nine million, nine hundred forty thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 503 887 1006 1774 2012 3521 3548 4024 6209 7042 7096 8048 12418 14084 14192 16096 24836 28168 28384 49672 56336 99344 112672 198688 446161 892322 1784644 3123127 3569288 6246254 7138576 12492508 14277152 24985016 49970032 99940064