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1659139920 = 243259672383
BaseRepresentation
bin110001011100100…
…0111011101010000
311021121222001002200
41202321013131100
511344214434140
6432345043200
756054312424
oct14271073520
94247861080
101659139920
117815a5419
123a3786500
132059713c9
1411a4cab84
159a9d2030
hex62e47750

1659139920 has 120 divisors (see below), whose sum is σ = 5580047616. Its totient is φ = 441794304.

The previous prime is 1659139919. The next prime is 1659139927. The reversal of 1659139920 is 299319561.

It is a happy number.

1659139920 is a `hidden beast` number, since 1 + 6 + 591 + 39 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1659139927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 695049 + ... + 697431.

Almost surely, 21659139920 is an apocalyptic number.

1659139920 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 1659139920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2790023808).

1659139920 is an abundant number, since it is smaller than the sum of its proper divisors (3920907696).

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

1659139920 is a wasteful number, since it uses less digits than its factorization.

1659139920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3369 (or 3360 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 1659139920 is about 40732.5412907174. The cubic root of 1659139920 is about 1183.8436190164.

The spelling of 1659139920 in words is "one billion, six hundred fifty-nine million, one hundred thirty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 967 1934 2383 2901 3868 4766 4835 5802 7149 7736 8703 9532 9670 11604 11915 14298 14505 15472 17406 19064 19340 21447 23208 23830 28596 29010 34812 35745 38128 38680 42894 43515 46416 47660 57192 58020 69624 71490 77360 85788 87030 95320 107235 114384 116040 139248 142980 171576 174060 190640 214470 232080 285960 343152 348120 428940 571920 696240 857880 1715760 2304361 4608722 6913083 9217444 11521805 13826166 18434888 20739249 23043610 27652332 34565415 36869776 41478498 46087220 55304664 69130830 82956996 92174440 103696245 110609328 138261660 165913992 184348880 207392490 276523320 331827984 414784980 553046640 829569960 1659139920