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59989020 = 223571310987
BaseRepresentation
bin1110010011010…
…1110000011100
311011212202110120
43210311300130
5110324122040
65541434540
71325620050
oct344656034
9134782416
1059989020
1130953703
121810ba50
13c574c80
147d77c60
1553ee7d0
hex3935c1c

59989020 has 96 divisors (see below), whose sum is σ = 206750208. Its totient is φ = 12655872.

The previous prime is 59989009. The next prime is 59989021. The reversal of 59989020 is 2098995.

59989020 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 (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59989021) by changing a digit.

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, 34 + ... + 10953.

It is an arithmetic number, because the mean of its divisors is an integer number (2153648).

Almost surely, 259989020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59989020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103375104).

59989020 is an abundant number, since it is smaller than the sum of its proper divisors (146761188).

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

59989020 is a wasteful number, since it uses less digits than its factorization.

59989020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11019 (or 11017 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 42.

The square root of 59989020 is about 7745.2579040339. The cubic root of 59989020 is about 391.4628819674.

The spelling of 59989020 in words is "fifty-nine million, nine hundred eighty-nine thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1092 1365 1820 2730 5460 10987 21974 32961 43948 54935 65922 76909 109870 131844 142831 153818 164805 219740 230727 285662 307636 329610 384545 428493 461454 571324 659220 714155 769090 856986 922908 999817 1153635 1428310 1538180 1713972 1999634 2142465 2307270 2856620 2999451 3999268 4284930 4614540 4999085 5998902 8569860 9998170 11997804 14997255 19996340 29994510 59989020