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1105030032 = 243234124413
BaseRepresentation
bin100000111011101…
…0110101110010000
32212000022100020020
41001313112232100
54230341430112
6301352343440
736245412621
oct10167265620
92760270206
101105030032
11517840467
1226a0a4b80
13147c22332
14a6a8ba48
156702b48c
hex41dd6b90

1105030032 has 80 divisors (see below), whose sum is σ = 3051554688. Its totient is φ = 343720960.

The previous prime is 1105030021. The next prime is 1105030033. The reversal of 1105030032 is 2300305011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1105029993 and 1105030020.

It is not an unprimeable number, because it can be changed into a prime (1105030033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33058 + ... + 57470.

Almost surely, 21105030032 is an apocalyptic number.

1105030032 is a gapful number since it is divisible by the number (12) 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 1105030032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525777344).

1105030032 is an abundant number, since it is smaller than the sum of its proper divisors (1946524656).

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

1105030032 is a wasteful number, since it uses less digits than its factorization.

1105030032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24488 (or 24482 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 1105030032 is about 33241.9919980738. The cubic root of 1105030032 is about 1033.8511783440.

Adding to 1105030032 its reverse (2300305011), we get a palindrome (3405335043).

The spelling of 1105030032 in words is "one billion, one hundred five million, thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 41 46 48 69 82 92 123 138 164 184 246 276 328 368 492 552 656 943 984 1104 1886 1968 2829 3772 5658 7544 11316 15088 22632 24413 45264 48826 73239 97652 146478 195304 292956 390608 561499 585912 1000933 1122998 1171824 1684497 2001866 2245996 3002799 3368994 4003732 4491992 6005598 6737988 8007464 8983984 12011196 13475976 16014928 23021459 24022392 26951952 46042918 48044784 69064377 92085836 138128754 184171672 276257508 368343344 552515016 1105030032