Search a number
-
+
1104458148 = 2232243712589
BaseRepresentation
bin100000111010100…
…1011000110100100
32211222020021202100
41001311023012210
54230220130043
6301332212100
736240511413
oct10165130644
92758207670
101104458148
1151748a832
12269a6a030
13147a81c41
14a697d47a
1566e66cd3
hex41d4b1a4

1104458148 has 36 divisors (see below), whose sum is σ = 2793192220. Its totient is φ = 367972416.

The previous prime is 1104458107. The next prime is 1104458153. The reversal of 1104458148 is 8418544011.

It can be written as a sum of positive squares in 2 ways, for example, as 578306304 + 526151844 = 24048^2 + 22938^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 81438 + ... + 94026.

Almost surely, 21104458148 is an apocalyptic number.

1104458148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1104458148 is an abundant number, since it is smaller than the sum of its proper divisors (1688734072).

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

1104458148 is a wasteful number, since it uses less digits than its factorization.

1104458148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15036 (or 15031 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 1104458148 is about 33233.3890537814. The cubic root of 1104458148 is about 1033.6727985852.

The spelling of 1104458148 in words is "one billion, one hundred four million, four hundred fifty-eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 2437 4874 7311 9748 12589 14622 21933 25178 29244 37767 43866 50356 75534 87732 113301 151068 226602 453204 30679393 61358786 92038179 122717572 184076358 276114537 368152716 552229074 1104458148