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1982733680 = 24567369913
BaseRepresentation
bin111011000101110…
…0001110101110000
312010011212022021202
41312023201311300
513030034434210
6524424510332
7100063646444
oct16613416560
95104768252
101982733680
11928224184
1247401b3a8
13257a102c5
1414b482824
15b91019a5
hex762e1d70

1982733680 has 40 divisors (see below), whose sum is σ = 4678672272. Its totient is φ = 781254144.

The previous prime is 1982733679. The next prime is 1982733707. The reversal of 1982733680 is 863372891.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 179597 + ... + 190316.

Almost surely, 21982733680 is an apocalyptic number.

1982733680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1982733680 is an abundant number, since it is smaller than the sum of its proper divisors (2695938592).

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

1982733680 is a wasteful number, since it uses less digits than its factorization.

1982733680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369993 (or 369987 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 47.

The square root of 1982733680 is about 44527.8977720709. The cubic root of 1982733680 is about 1256.2848658096.

The spelling of 1982733680 in words is "one billion, nine hundred eighty-two million, seven hundred thirty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 1072 1340 2680 5360 369913 739826 1479652 1849565 2959304 3699130 5918608 7398260 14796520 24784171 29593040 49568342 99136684 123920855 198273368 247841710 396546736 495683420 991366840 1982733680