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58071040 = 211553107
BaseRepresentation
bin1101110110000…
…1100000000000
311001021022111021
43131201200000
5104331233130
65432355224
71303411216
oct335414000
9131238437
1058071040
112a8636a5
1217545b14
13c052c81
1479d8cb6
15517137a
hex3761800

58071040 has 96 divisors (see below), whose sum is σ = 143292240. Its totient is φ = 22577152.

The previous prime is 58071023. The next prime is 58071043. The reversal of 58071040 is 4017085.

It is a junction number, because it is equal to n+sod(n) for n = 58070996 and 58071014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58071043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 542667 + ... + 542773.

Almost surely, 258071040 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 58071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71646120).

58071040 is an abundant number, since it is smaller than the sum of its proper divisors (85221200).

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

58071040 is a wasteful number, since it uses less digits than its factorization.

58071040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 58071040 is about 7620.4356830827. The cubic root of 58071040 is about 387.2456381331.

The spelling of 58071040 in words is "fifty-eight million, seventy-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 107 128 160 212 214 256 265 320 424 428 512 530 535 640 848 856 1024 1060 1070 1280 1696 1712 2048 2120 2140 2560 3392 3424 4240 4280 5120 5671 6784 6848 8480 8560 10240 11342 13568 13696 16960 17120 22684 27136 27392 28355 33920 34240 45368 54272 54784 56710 67840 68480 90736 108544 109568 113420 135680 136960 181472 219136 226840 271360 273920 362944 453680 542720 547840 725888 907360 1095680 1451776 1814720 2903552 3629440 5807104 7258880 11614208 14517760 29035520 58071040