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1682102420 = 225271503617
BaseRepresentation
bin110010001000010…
…1101100010010100
311100020011122201122
41210100231202110
511421104234140
6434525143112
756453430455
oct14420554224
94306148648
101682102420
11793559499
123ab3baa98
1320a65109b
1411d58712c
159ca1aab5
hex6442d894

1682102420 has 48 divisors (see below), whose sum is σ = 3558256128. Its totient is φ = 667941120.

The previous prime is 1682102419. The next prime is 1682102441. The reversal of 1682102420 is 242012861.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1682102420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2725952 + ... + 2726568.

It is an arithmetic number, because the mean of its divisors is an integer number (74130336).

Almost surely, 21682102420 is an apocalyptic number.

1682102420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1682102420 is an abundant number, since it is smaller than the sum of its proper divisors (1876153708).

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

1682102420 is a wasteful number, since it uses less digits than its factorization.

1682102420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 1682102420 is about 41013.4419428558. The cubic root of 1682102420 is about 1189.2800814688.

The spelling of 1682102420 in words is "one billion, six hundred eighty-two million, one hundred two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 271 503 542 617 1006 1084 1234 1355 2012 2468 2515 2710 3085 5030 5420 6170 10060 12340 136313 167207 272626 310351 334414 545252 620702 668828 681565 836035 1241404 1363130 1551755 1672070 2726260 3103510 3344140 6207020 84105121 168210242 336420484 420525605 841051210 1682102420