Search a number
-
+
1101475136 = 2631217909
BaseRepresentation
bin100000110100111…
…0010110101000000
32211202121201211102
41001221302311000
54223434201021
6301144233532
736203245526
oct10151626500
92752551742
101101475136
11515832633
12268a6b8a8
13147279248
14a6404316
1566a7800b
hex41a72d40

1101475136 has 42 divisors (see below), whose sum is σ = 2258648010. Its totient is φ = 532942080.

The previous prime is 1101475103. The next prime is 1101475139. The reversal of 1101475136 is 6315741011.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 915425536 + 186049600 = 30256^2 + 13640^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1101475099 and 1101475108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101475139) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52550 + ... + 70458.

Almost surely, 21101475136 is an apocalyptic number.

1101475136 is a gapful number since it is divisible by the number (16) 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 1101475136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129324005).

1101475136 is an abundant number, since it is smaller than the sum of its proper divisors (1157172874).

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

1101475136 is an equidigital number, since it uses as much as digits as its factorization.

1101475136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17983 (or 17942 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 1101475136 is about 33188.4789648456. The cubic root of 1101475136 is about 1032.7413498138.

The spelling of 1101475136 in words is "one billion, one hundred one million, four hundred seventy-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 961 992 1922 1984 3844 7688 15376 17909 30752 35818 61504 71636 143272 286544 555179 573088 1110358 1146176 2220716 4441432 8882864 17210549 17765728 34421098 35531456 68842196 137684392 275368784 550737568 1101475136