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5780022480 = 2432529276821
BaseRepresentation
bin1010110001000010…
…00010010011010000
3112220211010120020200
411120201002103100
543314141204410
62353313535200
7263143244331
oct53041022320
915824116220
105780022480
1124a6743491
121153874500
1371163865b
143cb90a288
1523c6843c0
hex1588424d0

5780022480 has 120 divisors (see below), whose sum is σ = 20080667880. Its totient is φ = 1488184320.

The previous prime is 5780022473. The next prime is 5780022503. The reversal of 5780022480 is 842200875.

It is a happy number.

5780022480 is a `hidden beast` number, since 578 + 0 + 0 + 2 + 2 + 4 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 117158976 + 5662863504 = 10824^2 + 75252^2 .

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

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117531 + ... + 159290.

It is an arithmetic number, because the mean of its divisors is an integer number (167338899).

Almost surely, 25780022480 is an apocalyptic number.

It is an amenable number.

5780022480 is an abundant number, since it is smaller than the sum of its proper divisors (14300645400).

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

5780022480 is a wasteful number, since it uses less digits than its factorization.

5780022480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276869 (or 276860 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 5780022480 is about 76026.4590784024. The cubic root of 5780022480 is about 1794.6365529673.

The spelling of 5780022480 in words is "five billion, seven hundred eighty million, twenty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 36 40 45 48 58 60 72 80 87 90 116 120 144 145 174 180 232 240 261 290 348 360 435 464 522 580 696 720 870 1044 1160 1305 1392 1740 2088 2320 2610 3480 4176 5220 6960 10440 20880 276821 553642 830463 1107284 1384105 1660926 2214568 2491389 2768210 3321852 4152315 4429136 4982778 5536420 6643704 8027809 8304630 9965556 11072840 12456945 13287408 16055618 16609260 19931112 22145680 24083427 24913890 32111236 33218520 39862224 40139045 48166854 49827780 64222472 66437040 72250281 80278090 96333708 99655560 120417135 128444944 144500562 160556180 192667416 199311120 240834270 289001124 321112360 361251405 385334832 481668540 578002248 642224720 722502810 963337080 1156004496 1445005620 1926674160 2890011240 5780022480