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58255140 = 223519137373
BaseRepresentation
bin1101111000111…
…0011100100100
311001121200000210
43132032130210
5104403131030
65440335420
71305106026
oct336163444
9131550023
1058255140
112a979a49
1217614570
13c0b89c8
147a46016
1551aabb0
hex378e724

58255140 has 96 divisors (see below), whose sum is σ = 173416320. Its totient is φ = 14570496.

The previous prime is 58255117. The next prime is 58255151. The reversal of 58255140 is 4155285.

It is a super-2 number, since 2×582551402 = 6787322672839200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 58255098 and 58255107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155994 + ... + 156366.

It is an arithmetic number, because the mean of its divisors is an integer number (1806420).

Almost surely, 258255140 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 58255140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86708160).

58255140 is an abundant number, since it is smaller than the sum of its proper divisors (115161180).

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

58255140 is a wasteful number, since it uses less digits than its factorization.

58255140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The square root of 58255140 is about 7632.5054864048. The cubic root of 58255140 is about 387.6544289092.

The spelling of 58255140 in words is "fifty-eight million, two hundred fifty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 137 190 228 274 285 373 380 411 548 570 685 746 822 1119 1140 1370 1492 1644 1865 2055 2238 2603 2740 3730 4110 4476 5206 5595 7087 7460 7809 8220 10412 11190 13015 14174 15618 21261 22380 26030 28348 31236 35435 39045 42522 51101 52060 70870 78090 85044 102202 106305 141740 153303 156180 204404 212610 255505 306606 425220 511010 613212 766515 970919 1022020 1533030 1941838 2912757 3066060 3883676 4854595 5825514 9709190 11651028 14563785 19418380 29127570 58255140