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1117985040 = 243251552757
BaseRepresentation
bin100001010100011…
…0001100100010000
32212220200112011100
41002220301210100
54242201010130
6302534144400
736463500414
oct10250614420
92786615140
101117985040
11524089787
122724b2100
1314a809c13
14a86a0d44
1568239c60
hex42a31910

1117985040 has 60 divisors (see below), whose sum is σ = 3754568844. Its totient is φ = 298129152.

The previous prime is 1117985009. The next prime is 1117985069. The reversal of 1117985040 is 405897111.

It can be written as a sum of positive squares in 2 ways, for example, as 663783696 + 454201344 = 25764^2 + 21312^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a junction number, because it is equal to n+sod(n) for n = 1117984986 and 1117985004.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 775659 + ... + 777098.

Almost surely, 21117985040 is an apocalyptic number.

1117985040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1117985040 is an abundant number, since it is smaller than the sum of its proper divisors (2636583804).

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

1117985040 is a wasteful number, since it uses less digits than its factorization.

1117985040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552776 (or 1552767 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The square root of 1117985040 is about 33436.2832862745. The cubic root of 1117985040 is about 1037.8756686704.

The spelling of 1117985040 in words is "one billion, one hundred seventeen million, nine hundred eighty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1552757 3105514 4658271 6211028 7763785 9316542 12422056 13974813 15527570 18633084 23291355 24844112 27949626 31055140 37266168 46582710 55899252 62110280 69874065 74532336 93165420 111798504 124220560 139748130 186330840 223597008 279496260 372661680 558992520 1117985040