Search a number
-
+
1100019984 = 24373273869
BaseRepresentation
bin100000110010000…
…1111100100010000
32211122212210201220
41001210033210100
54223101114414
6301053125040
736155005230
oct10144174420
92748783656
101100019984
11514a29328
12268489780
13146b89acb
14a6145cc0
156688bca9
hex4190f910

1100019984 has 40 divisors (see below), whose sum is σ = 3247679040. Its totient is φ = 314291328.

The previous prime is 1100019961. The next prime is 1100020021. The reversal of 1100019984 is 4899100011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1636599 + ... + 1637270.

It is an arithmetic number, because the mean of its divisors is an integer number (81191976).

Almost surely, 21100019984 is an apocalyptic number.

1100019984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1100019984 is an abundant number, since it is smaller than the sum of its proper divisors (2147659056).

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

1100019984 is a wasteful number, since it uses less digits than its factorization.

1100019984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3273887 (or 3273881 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 33.

The square root of 1100019984 is about 33166.5491723212. The cubic root of 1100019984 is about 1032.2863666566.

Adding to 1100019984 its reverse (4899100011), we get a palindrome (5999119995).

The spelling of 1100019984 in words is "one billion, one hundred million, nineteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 3273869 6547738 9821607 13095476 19643214 22917083 26190952 39286428 45834166 52381904 68751249 78572856 91668332 137502498 157145712 183336664 275004996 366673328 550009992 1100019984