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58580130 = 23571761269
BaseRepresentation
bin1101111101110…
…1110010100010
311002020011211110
43133131302202
5104444031010
65451324150
71310631360
oct337356242
9132204743
1058580130
1130081134
1217750656
13c1a08cb
147acc630
155222120
hex37ddca2

58580130 has 128 divisors (see below), whose sum is σ = 173560320. Its totient is φ = 12349440.

The previous prime is 58580099. The next prime is 58580153. The reversal of 58580130 is 3108585.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 217636 + ... + 217904.

It is an arithmetic number, because the mean of its divisors is an integer number (1355940).

Almost surely, 258580130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58580130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86780160).

58580130 is an abundant number, since it is smaller than the sum of its proper divisors (114980190).

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

58580130 is a wasteful number, since it uses less digits than its factorization.

58580130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364.

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 58580130 is about 7653.7657398172. The cubic root of 58580130 is about 388.3739663296.

The spelling of 58580130 in words is "fifty-eight million, five hundred eighty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 61 70 85 102 105 119 122 170 183 210 238 255 269 305 357 366 427 510 538 595 610 714 807 854 915 1037 1190 1281 1345 1614 1785 1830 1883 2074 2135 2562 2690 3111 3570 3766 4035 4270 4573 5185 5649 6222 6405 7259 8070 9146 9415 10370 11298 12810 13719 14518 15555 16409 18830 21777 22865 27438 28245 31110 32011 32818 36295 43554 45730 49227 56490 64022 68595 72590 82045 96033 98454 108885 114863 137190 160055 164090 192066 217770 229726 246135 278953 320110 344589 480165 492270 557906 574315 689178 836859 960330 1148630 1394765 1673718 1722945 1952671 2789530 3445890 3905342 4184295 5858013 8368590 9763355 11716026 19526710 29290065 58580130