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556665540 = 223597101947
BaseRepresentation
bin100001001011100…
…000101011000100
31102210110112120020
4201023200223010
52120001244130
6131123135140
716536402414
oct4113405304
91383415506
10556665540
11266250072
121365144b0
138b4353c2
1453d06644
1533d0ce10
hex212e0ac4

556665540 has 96 divisors (see below), whose sum is σ = 1592002944. Its totient is φ = 145305600.

The previous prime is 556665523. The next prime is 556665559. The reversal of 556665540 is 45566655.

It is a junction number, because it is equal to n+sod(n) for n = 556665492 and 556665501.

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 31 ways as a sum of consecutive naturals, for example, 587347 + ... + 588293.

It is an arithmetic number, because the mean of its divisors is an integer number (16583364).

Almost surely, 2556665540 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 556665540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796001472).

556665540 is an abundant number, since it is smaller than the sum of its proper divisors (1035337404).

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

556665540 is a wasteful number, since it uses less digits than its factorization.

556665540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 42.

The square root of 556665540 is about 23593.7606158917. The cubic root of 556665540 is about 822.6178186314.

The spelling of 556665540 in words is "five hundred fifty-six million, six hundred sixty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 101 194 202 291 303 388 404 485 505 582 606 947 970 1010 1164 1212 1455 1515 1894 1940 2020 2841 2910 3030 3788 4735 5682 5820 6060 9470 9797 11364 14205 18940 19594 28410 29391 39188 48985 56820 58782 91859 95647 97970 117564 146955 183718 191294 195940 275577 286941 293910 367436 382588 459295 478235 551154 573882 587820 918590 956470 1102308 1147764 1377885 1434705 1837180 1912940 2755770 2869410 5511540 5738820 9277759 18555518 27833277 37111036 46388795 55666554 92777590 111333108 139166385 185555180 278332770 556665540