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1105442240 = 26571932557
BaseRepresentation
bin100000111100011…
…1011010111000000
32212001002021200012
41001320323113000
54230443122430
6301405244052
736252050450
oct10170732700
92761067605
101105442240
11517aa2131
1226a263628
13148037b46
14a6b57d60
15670ad695
hex41e3b5c0

1105442240 has 112 divisors (see below), whose sum is σ = 3025152192. Its totient is φ = 376897536.

The previous prime is 1105442227. The next prime is 1105442267. The reversal of 1105442240 is 422445011.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 431042 + ... + 433598.

Almost surely, 21105442240 is an apocalyptic number.

1105442240 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 1105442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512576096).

1105442240 is an abundant number, since it is smaller than the sum of its proper divisors (1919709952).

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

1105442240 is a wasteful number, since it uses less digits than its factorization.

1105442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2774 (or 2764 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 1105442240 is about 33248.1915297659. The cubic root of 1105442240 is about 1033.9797144425.

Adding to 1105442240 its reverse (422445011), we get a palindrome (1527887251).

The spelling of 1105442240 in words is "one billion, one hundred five million, four hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 193 224 280 320 386 448 560 772 965 1120 1351 1544 1930 2240 2557 2702 3088 3860 5114 5404 6176 6755 7720 10228 10808 12352 12785 13510 15440 17899 20456 21616 25570 27020 30880 35798 40912 43232 51140 54040 61760 71596 81824 86464 89495 102280 108080 143192 163648 178990 204560 216160 286384 357980 409120 432320 493501 572768 715960 818240 987002 1145536 1431920 1974004 2467505 2863840 3454507 3948008 4935010 5727680 6909014 7896016 9870020 13818028 15792032 17272535 19740040 27636056 31584064 34545070 39480080 55272112 69090140 78960160 110544224 138180280 157920320 221088448 276360560 552721120 1105442240