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58130880 = 2635193187
BaseRepresentation
bin1101110111000…
…0000111000000
311001101100120120
43131300013000
5104340142010
65433540240
71304050533
oct335600700
9131340516
1058130880
112a8a4655
1217574680
13c074292
147a12a1a
155183e70
hex37701c0

58130880 has 112 divisors (see below), whose sum is σ = 194340480. Its totient is φ = 14681088.

The previous prime is 58130879. The next prime is 58130911. The reversal of 58130880 is 8803185.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 16647 + ... + 19833.

Almost surely, 258130880 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 58130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97170240).

58130880 is an abundant number, since it is smaller than the sum of its proper divisors (136209600).

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

58130880 is a wasteful number, since it uses less digits than its factorization.

58130880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3226 (or 3216 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 58130880 is about 7624.3609568278. The cubic root of 58130880 is about 387.3786064421.

The spelling of 58130880 in words is "fifty-eight million, one hundred thirty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 152 160 190 192 228 240 285 304 320 380 456 480 570 608 760 912 960 1140 1216 1520 1824 2280 3040 3187 3648 4560 6080 6374 9120 9561 12748 15935 18240 19122 25496 31870 38244 47805 50992 60553 63740 76488 95610 101984 121106 127480 152976 181659 191220 203968 242212 254960 302765 305952 363318 382440 484424 509920 605530 611904 726636 764880 908295 968848 1019840 1211060 1453272 1529760 1816590 1937696 2422120 2906544 3059520 3633180 3875392 4844240 5813088 7266360 9688480 11626176 14532720 19376960 29065440 58130880