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1103553540 = 2232541149533
BaseRepresentation
bin100000111000110…
…1110010000000100
32211220112022212100
41001301232100010
54230002203130
6301300552100
736230023155
oct10161562004
92756468770
101103553540
11516a22121
122696b2630
1314782627b
14a67c592c
1566d38c60
hex41c6e404

1103553540 has 72 divisors (see below), whose sum is σ = 3429113688. Its totient is φ = 287101440.

The previous prime is 1103553533. The next prime is 1103553541. The reversal of 1103553540 is 453553011.

1103553540 is a `hidden beast` number, since 1 + 103 + 553 + 5 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29942784 + 1073610756 = 5472^2 + 32766^2 .

It is not an unprimeable number, because it can be changed into a prime (1103553541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67387 + ... + 82146.

It is an arithmetic number, because the mean of its divisors is an integer number (47626579).

Almost surely, 21103553540 is an apocalyptic number.

1103553540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1103553540 is an abundant number, since it is smaller than the sum of its proper divisors (2325560148).

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

1103553540 is a wasteful number, since it uses less digits than its factorization.

1103553540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149589 (or 149584 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 1103553540 is about 33219.7763388016. The cubic root of 1103553540 is about 1033.3905111152.

The spelling of 1103553540 in words is "one billion, one hundred three million, five hundred fifty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 149533 299066 448599 598132 747665 897198 1345797 1495330 1794396 2242995 2691594 2990660 4485990 5383188 6130853 6728985 8971980 12261706 13457970 18392559 24523412 26915940 30654265 36785118 55177677 61308530 73570236 91962795 110355354 122617060 183925590 220710708 275888385 367851180 551776770 1103553540