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1328780880 = 243257263647
BaseRepresentation
bin100111100110011…
…1001011001010000
310102121100001200200
41033030321121100
510210131442010
6335504215200
744633310510
oct11714713120
93377301620
101328780880
11622075819
1231100a500
131823a409b
14c8693840
157b9c7cc0
hex4f339650

1328780880 has 120 divisors (see below), whose sum is σ = 5100006912. Its totient is φ = 303720192.

The previous prime is 1328780839. The next prime is 1328780881. The reversal of 1328780880 is 880878231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328780881) 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, 126784 + ... + 136863.

Almost surely, 21328780880 is an apocalyptic number.

1328780880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1328780880 is an abundant number, since it is smaller than the sum of its proper divisors (3771226032).

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

1328780880 is a wasteful number, since it uses less digits than its factorization.

1328780880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263673 (or 263664 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 1328780880 is about 36452.4468314543. The cubic root of 1328780880 is about 1099.3883321143.

The spelling of 1328780880 in words is "one billion, three hundred twenty-eight million, seven hundred eighty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 263647 527294 790941 1054588 1318235 1581882 1845529 2109176 2372823 2636470 3163764 3691058 3954705 4218352 4745646 5272940 5536587 6327528 7382116 7909410 9227645 9491292 10545880 11073174 11864115 12655056 14764232 15818820 16609761 18455290 18982584 21091760 22146348 23728230 27682935 29528464 31637640 33219522 36910580 37965168 44292696 47456460 55365870 63275280 66439044 73821160 83048805 88585392 94912920 110731740 132878088 147642320 166097610 189825840 221463480 265756176 332195220 442926960 664390440 1328780880