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2058803040 = 253574713037
BaseRepresentation
bin111101010110110…
…1101011101100000
312022111000000211110
41322231231131200
513204023144130
6540143143320
7102006352140
oct17255553540
95274000743
102058803040
11967160218
124955a4b40
1326a6c5568
14157604920
15c0b2aab0
hex7ab6d760

2058803040 has 192 divisors, whose sum is σ = 7569967104. Its totient is φ = 460535808.

The previous prime is 2058803023. The next prime is 2058803057. The reversal of 2058803040 is 403088502.

It is an interprime number because it is at equal distance from previous prime (2058803023) and next prime (2058803057).

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 = 2058802989 and 2058803007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151402 + ... + 164438.

It is an arithmetic number, because the mean of its divisors is an integer number (39426912).

Almost surely, 22058803040 is an apocalyptic number.

2058803040 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 2058803040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3784983552).

2058803040 is an abundant number, since it is smaller than the sum of its proper divisors (5511164064).

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

2058803040 is a wasteful number, since it uses less digits than its factorization.

2058803040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13109 (or 13101 counting only the distinct ones).

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

The square root of 2058803040 is about 45374.0348657688. The cubic root of 2058803040 is about 1272.1498379716.

The spelling of 2058803040 in words is "two billion, fifty-eight million, eight hundred three thousand, forty".