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1680536412 = 2232315925523
BaseRepresentation
bin110010000101010…
…1111001101011100
311100010020002120100
41210022233031130
511420204131122
6434431421100
756434216032
oct14412571534
94303202510
101680536412
11792689975
123aa984790
1320a223359
1411d29a552
159c80baac
hex642af35c

1680536412 has 72 divisors (see below), whose sum is σ = 4459553280. Its totient is φ = 532899360.

The previous prime is 1680536383. The next prime is 1680536461. The reversal of 1680536412 is 2146350861.

It is a happy number.

1680536412 is a `hidden beast` number, since 1 + 6 + 8 + 0 + 5 + 3 + 641 + 2 = 666.

1680536412 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53083 + ... + 78605.

It is an arithmetic number, because the mean of its divisors is an integer number (61938240).

Almost surely, 21680536412 is an apocalyptic number.

1680536412 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 1680536412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2229776640).

1680536412 is an abundant number, since it is smaller than the sum of its proper divisors (2779016868).

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

1680536412 is a wasteful number, since it uses less digits than its factorization.

1680536412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25623 (or 25618 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1680536412 is about 40994.3460979682. The cubic root of 1680536412 is about 1188.9109005439.

The spelling of 1680536412 in words is "one billion, six hundred eighty million, five hundred thirty-six thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 59 62 93 118 124 177 186 236 279 354 372 531 558 708 1062 1116 1829 2124 3658 5487 7316 10974 16461 21948 25523 32922 51046 65844 76569 102092 153138 229707 306276 459414 791213 918828 1505857 1582426 2373639 3011714 3164852 4517571 4747278 6023428 7120917 9035142 9494556 13552713 14241834 18070284 27105426 28483668 46681567 54210852 93363134 140044701 186726268 280089402 420134103 560178804 840268206 1680536412