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1655930940 = 2235195327407
BaseRepresentation
bin110001010110011…
…1000000000111100
311021101221000012120
41202230320000330
511342404242230
6432152202540
756015115666
oct14254700074
94241830176
101655930940
1177a803474
123a2699450
132050b98c1
14119cd3536
159a59b310
hex62b3803c

1655930940 has 96 divisors (see below), whose sum is σ = 4972907520. Its totient is φ = 410432256.

The previous prime is 1655930923. The next prime is 1655930971. The reversal of 1655930940 is 490395561.

It is a junction number, because it is equal to n+sod(n) for n = 1655930892 and 1655930901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46717 + ... + 74123.

It is an arithmetic number, because the mean of its divisors is an integer number (51801120).

Almost surely, 21655930940 is an apocalyptic number.

1655930940 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 1655930940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2486453760).

1655930940 is an abundant number, since it is smaller than the sum of its proper divisors (3316976580).

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

1655930940 is a wasteful number, since it uses less digits than its factorization.

1655930940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27491 (or 27489 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 42.

The square root of 1655930940 is about 40693.1313614472. The cubic root of 1655930940 is about 1183.0798935293.

The spelling of 1655930940 in words is "one billion, six hundred fifty-five million, nine hundred thirty thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 53 57 60 76 95 106 114 159 190 212 228 265 285 318 380 530 570 636 795 1007 1060 1140 1590 2014 3021 3180 4028 5035 6042 10070 12084 15105 20140 27407 30210 54814 60420 82221 109628 137035 164442 274070 328884 411105 520733 548140 822210 1041466 1452571 1562199 1644420 2082932 2603665 2905142 3124398 4357713 5207330 5810284 6248796 7262855 7810995 8715426 10414660 14525710 15621990 17430852 21788565 27598849 29051420 31243980 43577130 55197698 82796547 87154260 110395396 137994245 165593094 275988490 331186188 413982735 551976980 827965470 1655930940