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1410038070 = 2357194773103
BaseRepresentation
bin101010000001011…
…0111100100110110
310122021020100121020
41110002313210312
510341432204240
6351530002010
746641061110
oct12402674466
93567210536
101410038070
11663a25521
12334276306
1319618476c
14d53a63b0
1583bc90d0
hex540b7936

1410038070 has 256 divisors, whose sum is σ = 4255580160. Its totient is φ = 291879936.

The previous prime is 1410038059. The next prime is 1410038083. The reversal of 1410038070 is 708300141.

1410038070 is a modest number, since divided by 38070 gives 1410 as remainder.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1410038070.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13689639 + ... + 13689741.

It is an arithmetic number, because the mean of its divisors is an integer number (16623360).

Almost surely, 21410038070 is an apocalyptic number.

1410038070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1410038070 is the 30660-th pentagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1410038070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2127790080).

1410038070 is an abundant number, since it is smaller than the sum of its proper divisors (2845542090).

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

1410038070 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (1410038069) it forms an eRAP, since the sums of their prime factors are consecutive (258 and 259).

1410038070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259.

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 1410038070 is about 37550.4736321661. The cubic root of 1410038070 is about 1121.3562624788.

The spelling of 1410038070 in words is "one billion, four hundred ten million, thirty-eight thousand, seventy".