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1682720900 = 225272403887
BaseRepresentation
bin110010001001100…
…0100100010000100
311100021100002010022
41210103010202010
511421234032100
6434550314312
756461614560
oct14423044204
94307302108
101682720900
11793941133
123ab658998
1320a809753
1411d6a86a0
159cadde85
hex644c4884

1682720900 has 36 divisors (see below), whose sum is σ = 4173149568. Its totient is φ = 576932640.

The previous prime is 1682720899. The next prime is 1682720909. The reversal of 1682720900 is 90272861.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (1682720909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1201244 + ... + 1202643.

Almost surely, 21682720900 is an apocalyptic number.

1682720900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1682720900 is an abundant number, since it is smaller than the sum of its proper divisors (2490428668).

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

1682720900 is a wasteful number, since it uses less digits than its factorization.

1682720900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2403908 (or 2403901 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 1682720900 is about 41020.9812169334. The cubic root of 1682720900 is about 1189.4258228548.

The spelling of 1682720900 in words is "one billion, six hundred eighty-two million, seven hundred twenty thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 2403887 4807774 9615548 12019435 16827209 24038870 33654418 48077740 60097175 67308836 84136045 120194350 168272090 240388700 336544180 420680225 841360450 1682720900