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1410471090 = 233572371457
BaseRepresentation
bin101010000010010…
…0001010010110010
310122022001100121000
41110010201102302
510342040033330
6351543142430
746644543420
oct12404412262
93568040530
101410471090
116641a0896
12334444a16
131962a68a2
14d547a110
1583c62560
hex541214b2

1410471090 has 256 divisors, whose sum is σ = 4558602240. Its totient is φ = 303367680.

The previous prime is 1410471071. The next prime is 1410471121. The reversal of 1410471090 is 901740141.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3086142 + ... + 3086598.

It is an arithmetic number, because the mean of its divisors is an integer number (17807040).

Almost surely, 21410471090 is an apocalyptic number.

1410471090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1410471090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2279301120).

1410471090 is an abundant number, since it is smaller than the sum of its proper divisors (3148131150).

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

1410471090 is a wasteful number, since it uses less digits than its factorization.

1410471090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1410471090 is about 37556.2390289550. The cubic root of 1410471090 is about 1121.4710395196.

The spelling of 1410471090 in words is "one billion, four hundred ten million, four hundred seventy-one thousand, ninety".