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1054661660 = 2251373181307
BaseRepresentation
bin111110110111001…
…101110000011100
32201111112100210222
4332313031300130
54124443133120
6252353020512
735064322223
oct7667156034
92644470728
101054661660
114a1368a08
12255254738
1313a668370
14a00d9cba
15628cc525
hex3edcdc1c

1054661660 has 96 divisors (see below), whose sum is σ = 2439108672. Its totient is φ = 380712960.

The previous prime is 1054661611. The next prime is 1054661669. The reversal of 1054661660 is 661664501.

It is a super-2 number, since 2×10546616602 = 2224622434147911200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1054661660.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054661669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3435227 + ... + 3435533.

It is an arithmetic number, because the mean of its divisors is an integer number (25407382).

Almost surely, 21054661660 is an apocalyptic number.

1054661660 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 1054661660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219554336).

1054661660 is an abundant number, since it is smaller than the sum of its proper divisors (1384447012).

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

1054661660 is a wasteful number, since it uses less digits than its factorization.

1054661660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 1054661660 is about 32475.5548066542. The cubic root of 1054661660 is about 1017.8982932010.

The spelling of 1054661660 in words is "one billion, fifty-four million, six hundred sixty-one thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 73 130 146 181 260 292 307 362 365 614 724 730 905 949 1228 1460 1535 1810 1898 2353 3070 3620 3796 3991 4706 4745 6140 7982 9412 9490 11765 13213 15964 18980 19955 22411 23530 26426 39910 44822 47060 52852 55567 66065 79820 89644 111134 112055 132130 171769 222268 224110 264260 277835 291343 343538 448220 555670 582686 687076 722371 858845 1111340 1165372 1444742 1456715 1717690 2889484 2913430 3435380 3611855 4056391 5826860 7223710 8112782 14447420 16225564 20281955 40563910 52733083 81127820 105466166 210932332 263665415 527330830 1054661660