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59413380 = 223513192211
BaseRepresentation
bin1110001010100…
…1001110000100
311010210111211120
43202221032010
5110202212010
65521233540
71321001565
oct342511604
9133714746
1059413380
11305a0174
1217a928b0
13c402c60
147c6816c
155338e70
hex38a9384

59413380 has 144 divisors (see below), whose sum is σ = 189975744. Its totient is φ = 13789440.

The previous prime is 59413357. The next prime is 59413381. The reversal of 59413380 is 8331495.

It is not an unprimeable number, because it can be changed into a prime (59413381) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 281475 + ... + 281685.

It is an arithmetic number, because the mean of its divisors is an integer number (1319276).

Almost surely, 259413380 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 59413380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94987872).

59413380 is an abundant number, since it is smaller than the sum of its proper divisors (130562364).

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

59413380 is a wasteful number, since it uses less digits than its factorization.

59413380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 59413380 is about 7708.0075246460. The cubic root of 59413380 is about 390.2067280068.

The spelling of 59413380 in words is "fifty-nine million, four hundred thirteen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 26 30 38 39 52 57 60 65 76 78 95 114 130 156 190 195 211 228 247 260 285 361 380 390 422 494 570 633 722 741 780 844 988 1055 1083 1140 1235 1266 1444 1482 1805 2110 2166 2470 2532 2743 2964 3165 3610 3705 4009 4220 4332 4693 4940 5415 5486 6330 7220 7410 8018 8229 9386 10830 10972 12027 12660 13715 14079 14820 16036 16458 18772 20045 21660 23465 24054 27430 28158 32916 40090 41145 46930 48108 52117 54860 56316 60135 70395 76171 80180 82290 93860 104234 120270 140790 152342 156351 164580 208468 228513 240540 260585 281580 304684 312702 380855 457026 521170 625404 761710 781755 914052 990223 1042340 1142565 1523420 1563510 1980446 2285130 2970669 3127020 3960892 4570260 4951115 5941338 9902230 11882676 14853345 19804460 29706690 59413380