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65701980 = 22325537197
BaseRepresentation
bin1111101010100…
…0100001011100
311120122000011200
43322220201130
5113304430410
610304115500
71425312651
oct372504134
9146560150
1065701980
11340a5963
121a005b90
13107c5416
148a23c28
155b7c3c0
hex3ea885c

65701980 has 144 divisors (see below), whose sum is σ = 208039104. Its totient is φ = 16773120.

The previous prime is 65701969. The next prime is 65702003. The reversal of 65701980 is 8910756.

65701980 is a `hidden beast` number, since 6 + 570 + 1 + 9 + 80 = 666.

65701980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 47 ways as a sum of consecutive naturals, for example, 677292 + ... + 677388.

It is an arithmetic number, because the mean of its divisors is an integer number (1444716).

Almost surely, 265701980 is an apocalyptic number.

65701980 is a gapful number since it is divisible by the number (60) 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 65701980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104019552).

65701980 is an abundant number, since it is smaller than the sum of its proper divisors (142337124).

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

65701980 is a wasteful number, since it uses less digits than its factorization.

65701980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 65701980 is about 8105.6757892233. The cubic root of 65701980 is about 403.5148163693.

The spelling of 65701980 in words is "sixty-five million, seven hundred one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 71 90 97 106 142 159 180 194 212 213 265 284 291 318 355 388 426 477 485 530 582 636 639 710 795 852 873 954 970 1060 1065 1164 1278 1420 1455 1590 1746 1908 1940 2130 2385 2556 2910 3180 3195 3492 3763 4260 4365 4770 5141 5820 6390 6887 7526 8730 9540 10282 11289 12780 13774 15052 15423 17460 18815 20564 20661 22578 25705 27548 30846 33867 34435 37630 41322 45156 46269 51410 56445 61692 61983 67734 68870 75260 77115 82644 92538 102820 103305 112890 123966 135468 137740 154230 169335 185076 206610 225780 231345 247932 308460 309915 338670 365011 413220 462690 619830 677340 730022 925380 1095033 1239660 1460044 1825055 2190066 3285099 3650110 4380132 5475165 6570198 7300220 10950330 13140396 16425495 21900660 32850990 65701980