Search a number
-
+
55719360 = 263356449
BaseRepresentation
bin1101010010001…
…1010111000000
310212211211121000
43110203113000
5103231004420
65310132000
71244415054
oct324432700
9125754530
1055719360
11294a7864
12167b1000
13b70b748
147585c64
154d59690
hex35235c0

55719360 has 112 divisors (see below), whose sum is σ = 196596000. Its totient is φ = 14856192.

The previous prime is 55719359. The next prime is 55719361. The reversal of 55719360 is 6391755.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (55719359) and next prime (55719361).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55719361) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5416 + ... + 11864.

Almost surely, 255719360 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 55719360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98298000).

55719360 is an abundant number, since it is smaller than the sum of its proper divisors (140876640).

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

55719360 is a wasteful number, since it uses less digits than its factorization.

55719360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6475 (or 6459 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 55719360 is about 7464.5401733797. The cubic root of 55719360 is about 381.9460647699.

The spelling of 55719360 in words is "fifty-five million, seven hundred nineteen thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 6449 8640 12898 19347 25796 32245 38694 51592 58041 64490 77388 96735 103184 116082 128980 154776 174123 193470 206368 232164 257960 290205 309552 348246 386940 412736 464328 515920 580410 619104 696492 773880 870615 928656 1031840 1160820 1238208 1392984 1547760 1741230 1857312 2063680 2321640 2785968 3095520 3482460 3714624 4643280 5571936 6191040 6964920 9286560 11143872 13929840 18573120 27859680 55719360