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1105666380 = 2232572139643
BaseRepresentation
bin100000111100111…
…0010000101001100
32212001111200010200
41001321302011030
54231022311010
6301414133500
736254003100
oct10171620514
92761450120
101105666380
11518135575
1226a351290
131480b5b80
14a6bb5900
1567104cc0
hex41e7214c

1105666380 has 216 divisors, whose sum is σ = 4201967952. Its totient is φ = 233259264.

The previous prime is 1105666319. The next prime is 1105666391. The reversal of 1105666380 is 836665011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 109839 + ... + 119481.

Almost surely, 21105666380 is an apocalyptic number.

1105666380 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 1105666380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2100983976).

1105666380 is an abundant number, since it is smaller than the sum of its proper divisors (3096301572).

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

1105666380 is a wasteful number, since it uses less digits than its factorization.

1105666380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9685 (or 9673 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1105666380 is about 33251.5620685706. The cubic root of 1105666380 is about 1034.0495931278.

The spelling of 1105666380 in words is "one billion, one hundred five million, six hundred sixty-six thousand, three hundred eighty".