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58142670 = 23531101619
BaseRepresentation
bin1101110111001…
…0111111001110
311001101221202020
43131302333032
5104341031140
65434111010
71304130105
oct335627716
9131357666
1058142670
112a9024a3
121757b466
13c079761
147a1703c
1551876d0
hex3772fce

58142670 has 64 divisors (see below), whose sum is σ = 145704960. Its totient is φ = 14832000.

The previous prime is 58142659. The next prime is 58142677. The reversal of 58142670 is 7624185.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58142677) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93621 + ... + 94239.

It is an arithmetic number, because the mean of its divisors is an integer number (2276640).

Almost surely, 258142670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58142670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72852480).

58142670 is an abundant number, since it is smaller than the sum of its proper divisors (87562290).

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

58142670 is a wasteful number, since it uses less digits than its factorization.

58142670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761.

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 58142670 is about 7625.1340971815. The cubic root of 58142670 is about 387.4047938147.

The spelling of 58142670 in words is "fifty-eight million, one hundred forty-two thousand, six hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 101 155 186 202 303 310 465 505 606 619 930 1010 1238 1515 1857 3030 3095 3131 3714 6190 6262 9285 9393 15655 18570 18786 19189 31310 38378 46965 57567 62519 93930 95945 115134 125038 187557 191890 287835 312595 375114 575670 625190 937785 1875570 1938089 3876178 5814267 9690445 11628534 19380890 29071335 58142670