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1105820352 = 263271317273
BaseRepresentation
bin100000111101001…
…0111101011000000
32212001210111100100
41001322113223000
54231042222402
6301421322400
736255214020
oct10172275300
92761714310
101105820352
1151823021a
1226a406400
1314813ac90
14a6c15a80
156713571c
hex41e97ac0

1105820352 has 504 divisors, whose sum is σ = 4200830816. Its totient is φ = 270729216.

The previous prime is 1105820351. The next prime is 1105820363. The reversal of 1105820352 is 2530285011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

It is not an unprimeable number, because it can be changed into a prime (1105820351) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15148188 + ... + 15148260.

Almost surely, 21105820352 is an apocalyptic number.

1105820352 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 1105820352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2100415408).

1105820352 is an abundant number, since it is smaller than the sum of its proper divisors (3095010464).

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

1105820352 is a wasteful number, since it uses less digits than its factorization.

1105820352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1105820352 is about 33253.8772476233. The cubic root of 1105820352 is about 1034.0975905156.

The spelling of 1105820352 in words is "one billion, one hundred five million, eight hundred twenty thousand, three hundred fifty-two".