Search a number
-
+
99800512 = 267367607
BaseRepresentation
bin1011111001011…
…01010111000000
320221210101120021
411330231113000
5201022104022
613523023224
72321201410
oct574552700
9227711507
1099800512
1151375669
122950ab14
13178a3a76
14d37c640
158b657c7
hex5f2d5c0

99800512 has 56 divisors (see below), whose sum is σ = 227323904. Its totient is φ = 42584832.

The previous prime is 99800497. The next prime is 99800531. The reversal of 99800512 is 21500899.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164113 + ... + 164719.

Almost surely, 299800512 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 99800512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113661952).

99800512 is an abundant number, since it is smaller than the sum of its proper divisors (127523392).

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

99800512 is a wasteful number, since it uses less digits than its factorization.

99800512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 34.

The square root of 99800512 is about 9990.0206205993. The cubic root of 99800512 is about 463.8500308045.

The spelling of 99800512 in words is "ninety-nine million, eight hundred thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 367 448 607 734 1214 1468 2428 2569 2936 4249 4856 5138 5872 8498 9712 10276 11744 16996 19424 20552 23488 33992 38848 41104 67984 82208 135968 164416 222769 271936 445538 891076 1559383 1782152 3118766 3564304 6237532 7128608 12475064 14257216 24950128 49900256 99800512