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1105440032 = 25414791759
BaseRepresentation
bin100000111100011…
…1010110100100000
32212001002011122102
41001320322310200
54230443040112
6301405225532
736252041144
oct10170726440
92761064572
101105440032
11517aa0504
1226a2622a8
13148036b38
14a6b57224
15670acbc2
hex41e3ad20

1105440032 has 48 divisors (see below), whose sum is σ = 2235340800. Its totient is φ = 537807360.

The previous prime is 1105440019. The next prime is 1105440041. The reversal of 1105440032 is 2300445011.

It is a super-2 number, since 2×11054400322 = 2443995328696322048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1105439986 and 1105440013.

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 7 ways as a sum of consecutive naturals, for example, 627569 + ... + 629327.

It is an arithmetic number, because the mean of its divisors is an integer number (46569600).

Almost surely, 21105440032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1105440032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117670400).

1105440032 is an abundant number, since it is smaller than the sum of its proper divisors (1129900768).

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

1105440032 is a wasteful number, since it uses less digits than its factorization.

1105440032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2289 (or 2281 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1105440032 is about 33248.1583249358. The cubic root of 1105440032 is about 1033.9790260216.

Adding to 1105440032 its reverse (2300445011), we get a palindrome (3405885043).

The spelling of 1105440032 in words is "one billion, one hundred five million, four hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 41 82 164 328 479 656 958 1312 1759 1916 3518 3832 7036 7664 14072 15328 19639 28144 39278 56288 72119 78556 144238 157112 288476 314224 576952 628448 842561 1153904 1685122 2307808 3370244 6740488 13480976 26961952 34545001 69090002 138180004 276360008 552720016 1105440032