Search a number
-
+
100989984 = 2531051979
BaseRepresentation
bin1100000010011…
…11110000100000
321001000211012210
412001033300200
5201323134414
614004322120
72334254304
oct601176040
9231024183
10100989984
11520082a7
12299a3340
1317bcc2b4
14d5abd04
158cece59
hex604fc20

100989984 has 24 divisors (see below), whose sum is σ = 265098960. Its totient is φ = 33663296.

The previous prime is 100989947. The next prime is 100989989. The reversal of 100989984 is 489989001.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (100989989) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 525894 + ... + 526085.

It is an arithmetic number, because the mean of its divisors is an integer number (11045790).

Almost surely, 2100989984 is an apocalyptic number.

It is an amenable number.

100989984 is an abundant number, since it is smaller than the sum of its proper divisors (164108976).

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

100989984 is a wasteful number, since it uses less digits than its factorization.

100989984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051992 (or 1051984 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The square root of 100989984 is about 10049.3772941412. The cubic root of 100989984 is about 465.6855560117.

The spelling of 100989984 in words is "one hundred million, nine hundred eighty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1051979 2103958 3155937 4207916 6311874 8415832 12623748 16831664 25247496 33663328 50494992 100989984