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2058406140 = 2235710944963
BaseRepresentation
bin111101010110000…
…1100100011111100
312022110020212101110
41322230030203330
513203422444030
6540130442020
7102003110040
oct17254144374
95273225343
102058406140
11966a09aaa
12495433310
1326a5b69cb
14157540020
15c0a9d1b0
hex7ab0c8fc

2058406140 has 96 divisors (see below), whose sum is σ = 6647477760. Its totient is φ = 466166016.

The previous prime is 2058406127. The next prime is 2058406153. The reversal of 2058406140 is 416048502.

It is an interprime number because it is at equal distance from previous prime (2058406127) and next prime (2058406153).

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 = 2058406098 and 2058406107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23299 + ... + 68261.

It is an arithmetic number, because the mean of its divisors is an integer number (69244560).

Almost surely, 22058406140 is an apocalyptic number.

2058406140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2058406140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3323738880).

2058406140 is an abundant number, since it is smaller than the sum of its proper divisors (4589071620).

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

2058406140 is a wasteful number, since it uses less digits than its factorization.

2058406140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45091 (or 45089 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 2058406140 is about 45369.6610082112. The cubic root of 2058406140 is about 1272.0680835556.

The spelling of 2058406140 in words is "two billion, fifty-eight million, four hundred six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 109 140 210 218 327 420 436 545 654 763 1090 1308 1526 1635 2180 2289 3052 3270 3815 4578 6540 7630 9156 11445 15260 22890 44963 45780 89926 134889 179852 224815 269778 314741 449630 539556 629482 674445 899260 944223 1258964 1348890 1573705 1888446 2697780 3147410 3776892 4721115 4900967 6294820 9442230 9801934 14702901 18884460 19603868 24504835 29405802 34306769 49009670 58811604 68613538 73514505 98019340 102920307 137227076 147029010 171533845 205840614 294058020 343067690 411681228 514601535 686135380 1029203070 2058406140