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2058182040 = 2335101169817
BaseRepresentation
bin111101010101101…
…0101110110011000
312022102211110222110
41322223111312120
513203343311130
6540121552320
7102001154505
oct17253256630
95272743873
102058182040
119668766a2
124953456a0
1326a5389c5
141574c24ac
15c0a56ab0
hex7aad5d98

2058182040 has 64 divisors (see below), whose sum is σ = 6235716960. Its totient is φ = 543411200.

The previous prime is 2058182033. The next prime is 2058182041. The reversal of 2058182040 is 402818502.

It is a super-2 number, since 2×20581820402 = 8472226619557123200, 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 = 2058181989 and 2058182007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2058182041) 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, 72789 + ... + 97028.

Almost surely, 22058182040 is an apocalyptic number.

2058182040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2058182040 is an abundant number, since it is smaller than the sum of its proper divisors (4177534920).

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

2058182040 is a wasteful number, since it uses less digits than its factorization.

2058182040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169932 (or 169928 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 2058182040 is about 45367.1912289046. The cubic root of 2058182040 is about 1272.0219182569.

The spelling of 2058182040 in words is "two billion, fifty-eight million, one hundred eighty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 202 303 404 505 606 808 1010 1212 1515 2020 2424 3030 4040 6060 12120 169817 339634 509451 679268 849085 1018902 1358536 1698170 2037804 2547255 3396340 4075608 5094510 6792680 10189020 17151517 20378040 34303034 51454551 68606068 85757585 102909102 137212136 171515170 205818204 257272755 343030340 411636408 514545510 686060680 1029091020 2058182040