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1103435040 = 253543193277
BaseRepresentation
bin100000111000101…
…0001010100100000
32211220022022022110
41001301101110200
54224434410130
6301254235320
736226020531
oct10161212440
92756268273
101103435040
11516951094
12269655b40
131477b4356
14a6794688
1566d13ab0
hex41c51520

1103435040 has 192 divisors, whose sum is σ = 3587988096. Its totient is φ = 284884992.

The previous prime is 1103435033. The next prime is 1103435063. The reversal of 1103435040 is 405343011.

It is a junction number, because it is equal to n+sod(n) for n = 1103434998 and 1103435016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3983382 + ... + 3983658.

It is an arithmetic number, because the mean of its divisors is an integer number (18687438).

Almost surely, 21103435040 is an apocalyptic number.

1103435040 is a gapful number since it is divisible by the number (10) 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 1103435040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793994048).

1103435040 is an abundant number, since it is smaller than the sum of its proper divisors (2484553056).

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

1103435040 is a wasteful number, since it uses less digits than its factorization.

1103435040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1103435040 is about 33217.9927147924. The cubic root of 1103435040 is about 1033.3535211688.

Adding to 1103435040 its reverse (405343011), we get a palindrome (1508778051).

The spelling of 1103435040 in words is "one billion, one hundred three million, four hundred thirty-five thousand, forty".