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537660990 = 2345719349
BaseRepresentation
bin100000000011000…
…000111000111110
31101110201000020000
4200003000320332
52100120122430
6125203535130
716216020516
oct4003007076
91343630200
10537660990
1125654a729
1213008a4a6
13875100c9
145159a846
1532306e60
hex200c0e3e

537660990 has 80 divisors (see below), whose sum is σ = 1466229600. Its totient is φ = 141341760.

The previous prime is 537660979. The next prime is 537661013. The reversal of 537660990 is 99066735.

537660990 is a `hidden beast` number, since 5 + 37 + 6 + 609 + 9 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 52836 + ... + 62184.

It is an arithmetic number, because the mean of its divisors is an integer number (18327870).

Almost surely, 2537660990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 537660990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733114800).

537660990 is an abundant number, since it is smaller than the sum of its proper divisors (928568610).

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

537660990 is a wasteful number, since it uses less digits than its factorization.

537660990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9439 (or 9430 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 537660990 is about 23187.5179784297. The cubic root of 537660990 is about 813.1478333039.

It can be divided in two parts, 5376 and 60990, that added together give a palindrome (66366).

The spelling of 537660990 in words is "five hundred thirty-seven million, six hundred sixty thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 71 81 90 135 142 162 213 270 355 405 426 639 710 810 1065 1278 1917 2130 3195 3834 5751 6390 9349 9585 11502 18698 19170 28047 28755 46745 56094 57510 84141 93490 140235 168282 252423 280470 420705 504846 663779 757269 841410 1262115 1327558 1514538 1991337 2524230 3318895 3786345 3982674 5974011 6637790 7572690 9956685 11948022 17922033 19913370 29870055 35844066 53766099 59740110 89610165 107532198 179220330 268830495 537660990