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58903020 = 223251171419
BaseRepresentation
bin1110000010110…
…0100111101100
311002211120202100
43200230213230
5110034344040
65502255100
71313444631
oct340544754
9132746670
1058903020
1130281790
1217887490
13c284877
147b74188
155287b30
hex382c9ec

58903020 has 144 divisors (see below), whose sum is σ = 198132480. Its totient is φ = 14044800.

The previous prime is 58902989. The next prime is 58903027. The reversal of 58903020 is 2030985.

58903020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (58903027) 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 47 ways as a sum of consecutive naturals, for example, 140371 + ... + 140789.

It is an arithmetic number, because the mean of its divisors is an integer number (1375920).

Almost surely, 258903020 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 58903020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99066240).

58903020 is an abundant number, since it is smaller than the sum of its proper divisors (139229460).

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

58903020 is a wasteful number, since it uses less digits than its factorization.

58903020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 58903020 is about 7674.8302912833. The cubic root of 58903020 is about 389.0862235982.

The spelling of 58903020 in words is "fifty-eight million, nine hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 71 90 99 110 132 142 165 180 198 213 220 284 330 355 396 419 426 495 639 660 710 781 838 852 990 1065 1257 1278 1420 1562 1676 1980 2095 2130 2343 2514 2556 3124 3195 3771 3905 4190 4260 4609 4686 5028 6285 6390 7029 7542 7810 8380 9218 9372 11715 12570 12780 13827 14058 15084 15620 18436 18855 23045 23430 25140 27654 28116 29749 35145 37710 41481 46090 46860 55308 59498 69135 70290 75420 82962 89247 92180 118996 138270 140580 148745 165924 178494 207405 267741 276540 297490 327239 356988 414810 446235 535482 594980 654478 829620 892470 981717 1070964 1308956 1338705 1636195 1784940 1963434 2677410 2945151 3272390 3926868 4908585 5354820 5890302 6544780 9817170 11780604 14725755 19634340 29451510 58903020