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58020240 = 24351511601
BaseRepresentation
bin1101110101010…
…1000110010000
311001011201210210
43131111012100
5104323121430
65431324120
71303110135
oct335250620
9131151723
1058020240
112a829513
1217520640
13c035b05
1479c458c
1551612b0
hex3755190

58020240 has 80 divisors (see below), whose sum is σ = 181166976. Its totient is φ = 15360000.

The previous prime is 58020223. The next prime is 58020247. The reversal of 58020240 is 4202085.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58020247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35440 + ... + 37040.

Almost surely, 258020240 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 58020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90583488).

58020240 is an abundant number, since it is smaller than the sum of its proper divisors (123146736).

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

58020240 is a wasteful number, since it uses less digits than its factorization.

58020240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 58020240 is about 7617.1018110565. The cubic root of 58020240 is about 387.1326855752.

The spelling of 58020240 in words is "fifty-eight million, twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 151 240 302 453 604 755 906 1208 1510 1601 1812 2265 2416 3020 3202 3624 4530 4803 6040 6404 7248 8005 9060 9606 12080 12808 16010 18120 19212 24015 25616 32020 36240 38424 48030 64040 76848 96060 128080 192120 241751 384240 483502 725253 967004 1208755 1450506 1934008 2417510 2901012 3626265 3868016 4835020 5802024 7252530 9670040 11604048 14505060 19340080 29010120 58020240