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1690683456 = 263721117312
BaseRepresentation
bin110010011000101…
…1100100001000000
311100211022121200210
41210301130201000
511430303332311
6435433114120
756616400200
oct14461344100
94324277623
101690683456
1179838a560
123b2258940
1320c366b17
1412077c400
159d6633a6
hex64c5c840

1690683456 has 504 divisors, whose sum is σ = 6210714528. Its totient is φ = 399974400.

The previous prime is 1690683361. The next prime is 1690683457. The reversal of 1690683456 is 6543860961.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1690683457) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 54538161 + ... + 54538191.

Almost surely, 21690683456 is an apocalyptic number.

1690683456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1690683456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3105357264).

1690683456 is an abundant number, since it is smaller than the sum of its proper divisors (4520031072).

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

1690683456 is a wasteful number, since it uses less digits than its factorization.

1690683456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 1690683456 is about 41117.9213482394. The cubic root of 1690683456 is about 1191.2989737143.

The spelling of 1690683456 in words is "one billion, six hundred ninety million, six hundred eighty-three thousand, four hundred fifty-six".