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1057429590 = 23575035379
BaseRepresentation
bin111111000001110…
…001100001010110
32201200201222200220
4333001301201112
54131200221330
6252532215210
735130001050
oct7701614126
92650658626
101057429590
114a2989558
1225616a506
1313b0c71a9
14a061a8d0
1562c77710
hex3f071856

1057429590 has 32 divisors (see below), whose sum is σ = 2900378880. Its totient is φ = 241698144.

The previous prime is 1057429589. The next prime is 1057429609. The reversal of 1057429590 is 959247501.

1057429590 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10574295902 = 2236314675615136200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2517480 + ... + 2517899.

It is an arithmetic number, because the mean of its divisors is an integer number (90636840).

Almost surely, 21057429590 is an apocalyptic number.

1057429590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1057429590 is an abundant number, since it is smaller than the sum of its proper divisors (1842949290).

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

1057429590 is a wasteful number, since it uses less digits than its factorization.

1057429590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5035396.

The product of its (nonzero) digits is 113400, while the sum is 42.

The square root of 1057429590 is about 32518.1424746248. The cubic root of 1057429590 is about 1018.7879971776.

The spelling of 1057429590 in words is "one billion, fifty-seven million, four hundred twenty-nine thousand, five hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 5035379 10070758 15106137 25176895 30212274 35247653 50353790 70495306 75530685 105742959 151061370 176238265 211485918 352476530 528714795 1057429590