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1690689924 = 223272112892
BaseRepresentation
bin110010011000101…
…1110000110000100
311100211022221120100
41210301132012010
511430304034144
6435433204100
756616425100
oct14461360604
94324287510
101690689924
11798394400
123b2260630
1320c369a51
14120780900
159d665269
hex64c5e184

1690689924 has 243 divisors, whose sum is σ = 5526556581. Its totient is φ = 434206080.

The previous prime is 1690689883. The next prime is 1690689947. The reversal of 1690689924 is 4299860961.

The square root of 1690689924 is 41118.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 324648324 + 1366041600 = 18018^2 + 36960^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 18996472 + ... + 18996560.

Almost surely, 21690689924 is an apocalyptic number.

1690689924 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1690689924 is the 41118-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1690689924

1690689924 is an abundant number, since it is smaller than the sum of its proper divisors (3835866657).

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

1690689924 is a wasteful number, since it uses less digits than its factorization.

1690689924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The cubic root of 1690689924 is about 1191.3004928853.

The spelling of 1690689924 in words is "one billion, six hundred ninety million, six hundred eighty-nine thousand, nine hundred twenty-four".