Search a number
-
+
1104527424 = 263721113821
BaseRepresentation
bin100000111010101…
…1100000001000000
32211222100210210010
41001311130001000
54230224334144
6301333504520
736241220400
oct10165340100
92758323703
101104527424
11517527890
12269aa2140
13147aa7630
14a699a800
1566e7c5b9
hex41d5c040

1104527424 has 336 divisors, whose sum is σ = 3998707776. Its totient is φ = 264499200.

The previous prime is 1104527419. The next prime is 1104527429. The reversal of 1104527424 is 4247254011.

It is an interprime number because it is at equal distance from previous prime (1104527419) and next prime (1104527429).

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 1104527391 and 1104527400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1104527429) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1344934 + ... + 1345754.

It is an arithmetic number, because the mean of its divisors is an integer number (11900916).

Almost surely, 21104527424 is an apocalyptic number.

1104527424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1104527424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999353888).

1104527424 is an abundant number, since it is smaller than the sum of its proper divisors (2894180352).

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

1104527424 is a wasteful number, since it uses less digits than its factorization.

1104527424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 1104527424 is about 33234.4313024911. The cubic root of 1104527424 is about 1033.6944101540.

The spelling of 1104527424 in words is "one billion, one hundred four million, five hundred twenty-seven thousand, four hundred twenty-four".