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1680888852 = 2232235338303
BaseRepresentation
bin110010000110000…
…0101010000010100
311100010220000000200
41210030011100110
511420301420402
6434443140500
756440214406
oct14414052024
94303800020
101680888852
117928aa745
123aab14730
1320a3178b6
1411d34cb76
159c87b21c
hex64305414

1680888852 has 72 divisors (see below), whose sum is σ = 4517420544. Its totient is φ = 525809856.

The previous prime is 1680888731. The next prime is 1680888857. The reversal of 1680888852 is 2588880861.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1680888857) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24733 + ... + 63035.

It is an arithmetic number, because the mean of its divisors is an integer number (62741952).

Almost surely, 21680888852 is an apocalyptic number.

1680888852 is a gapful number since it is divisible by the number (12) 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 1680888852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2258710272).

1680888852 is an abundant number, since it is smaller than the sum of its proper divisors (2836531692).

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

1680888852 is a wasteful number, since it uses less digits than its factorization.

1680888852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38389 (or 38384 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 54.

The square root of 1680888852 is about 40998.6445141788. The cubic root of 1680888852 is about 1188.9940070381.

The spelling of 1680888852 in words is "one billion, six hundred eighty million, eight hundred eighty-eight thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 53 69 92 106 138 159 207 212 276 318 414 477 636 828 954 1219 1908 2438 3657 4876 7314 10971 14628 21942 38303 43884 76606 114909 153212 229818 344727 459636 689454 880969 1378908 1761938 2030059 2642907 3523876 4060118 5285814 6090177 7928721 8120236 10571628 12180354 15857442 18270531 24360708 31714884 36541062 46691357 73082124 93382714 140074071 186765428 280148142 420222213 560296284 840444426 1680888852