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1145115540 = 2232513148563
BaseRepresentation
bin100010001000001…
…0001001110010100
32221210201220012200
41010100101032110
54321122144130
6305343444500
740243215162
oct10420211624
92853656180
101145115540
1153842a288
1227b5b6730
13153318a7a
14ac124232
156a7e8760
hex44411394

1145115540 has 72 divisors (see below), whose sum is σ = 3500104608. Its totient is φ = 303026880.

The previous prime is 1145115497. The next prime is 1145115551. The reversal of 1145115540 is 455115411.

1145115540 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 115 + 540 = 666.

It is a super-2 number, since 2×11451155402 = 2622579199898983200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 702 + ... + 47861.

It is an arithmetic number, because the mean of its divisors is an integer number (48612564).

Almost surely, 21145115540 is an apocalyptic number.

1145115540 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 1145115540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750052304).

1145115540 is an abundant number, since it is smaller than the sum of its proper divisors (2354989068).

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

1145115540 is a wasteful number, since it uses less digits than its factorization.

1145115540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48709 (or 48704 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The square root of 1145115540 is about 33839.5558481491. Note that the first 3 decimals coincide. The cubic root of 1145115540 is about 1046.2041444769.

The spelling of 1145115540 in words is "one billion, one hundred forty-five million, one hundred fifteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 131 180 262 393 524 655 786 1179 1310 1572 1965 2358 2620 3930 4716 5895 7860 11790 23580 48563 97126 145689 194252 242815 291378 437067 485630 582756 728445 874134 971260 1456890 1748268 2185335 2913780 4370670 6361753 8741340 12723506 19085259 25447012 31808765 38170518 57255777 63617530 76341036 95426295 114511554 127235060 190852590 229023108 286278885 381705180 572557770 1145115540