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5780491120 = 2452913191889
BaseRepresentation
bin1010110001000101…
…10100101101110000
3112220212000101002201
411120202310231300
543314301203440
62353331552544
7263150235535
oct53042645560
915825011081
105780491120
1124a6a33598
121153a5b754
13711770a61
143cb9ccd8c
1523c72819a
hex1588b4b70

5780491120 has 80 divisors (see below), whose sum is σ = 13920984000. Its totient is φ = 2229592064.

The previous prime is 5780491111. The next prime is 5780491121. The reversal of 5780491120 is 211940875.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 5780491120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5780491121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3059136 + ... + 3061024.

It is an arithmetic number, because the mean of its divisors is an integer number (174012300).

Almost surely, 25780491120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5780491120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6960492000).

5780491120 is an abundant number, since it is smaller than the sum of its proper divisors (8140492880).

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

5780491120 is a wasteful number, since it uses less digits than its factorization.

5780491120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3250 (or 3244 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 37.

The square root of 5780491120 is about 76029.5411008116. The cubic root of 5780491120 is about 1794.6850542634.

The spelling of 5780491120 in words is "five billion, seven hundred eighty million, four hundred ninety-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 1319 1889 2320 2638 3778 5276 6595 7556 9445 10552 13190 15112 18890 21104 26380 30224 37780 38251 52760 54781 75560 76502 105520 109562 151120 153004 191255 219124 273905 306008 382510 438248 547810 612016 765020 876496 1095620 1530040 2191240 2491591 3060080 4382480 4983182 9966364 12457955 19932728 24915910 39865456 49831820 72256139 99663640 144512278 199327280 289024556 361280695 578049112 722561390 1156098224 1445122780 2890245560 5780491120