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1580085429 = 313194152009
BaseRepresentation
bin101111000101110…
…0011000010110101
311002010012122201120
41132023203002311
511214000213204
6420442414153
754104335026
oct13613430265
94063178646
101580085429
11740a0a62a
12381201359
131c24824c0
1410dbccc4d
1593ab86d9
hex5e2e30b5

1580085429 has 32 divisors (see below), whose sum is σ = 2446550400. Its totient is φ = 898698240.

The previous prime is 1580085401. The next prime is 1580085461. The reversal of 1580085429 is 9245800851.

It is a happy number.

1580085429 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1580085429 - 28 = 1580085173 is a prime.

It is a super-2 number, since 2×15800854292 = 4993339925876228082, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1580085229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4377 + ... + 56385.

It is an arithmetic number, because the mean of its divisors is an integer number (76454700).

Almost surely, 21580085429 is an apocalyptic number.

1580085429 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

1580085429 is a deficient number, since it is larger than the sum of its proper divisors (866464971).

1580085429 is a wasteful number, since it uses less digits than its factorization.

1580085429 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52085.

The product of its (nonzero) digits is 115200, while the sum is 42.

The square root of 1580085429 is about 39750.2884140480. The cubic root of 1580085429 is about 1164.7342757560.

The spelling of 1580085429 in words is "one billion, five hundred eighty million, eighty-five thousand, four hundred twenty-nine".

Divisors: 1 3 13 19 39 41 57 123 247 533 741 779 1599 2337 10127 30381 52009 156027 676117 988171 2028351 2132369 2964513 6397107 12846223 27720797 38538669 40515011 83162391 121545033 526695143 1580085429