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556427060 = 225729314421
BaseRepresentation
bin100001001010100…
…110011100110100
31102210000102102122
4201022212130310
52114421131220
6131114055112
716534360220
oct4112463464
91383012378
10556427060
112660a7982
1213641a498
138b3809a7
1453c83780
1533cb2425
hex212a6734

556427060 has 96 divisors (see below), whose sum is σ = 1426360320. Its totient is φ = 178214400.

The previous prime is 556427041. The next prime is 556427077. The reversal of 556427060 is 60724655.

It is a super-2 number, since 2×5564270602 = 619222146200487200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 556427060.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123650 + ... + 128070.

It is an arithmetic number, because the mean of its divisors is an integer number (14857920).

Almost surely, 2556427060 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 556427060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713180160).

556427060 is an abundant number, since it is smaller than the sum of its proper divisors (869933260).

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

556427060 is a wasteful number, since it uses less digits than its factorization.

556427060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4497 (or 4495 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 35.

The square root of 556427060 is about 23588.7061959744. The cubic root of 556427060 is about 822.5003298194.

The spelling of 556427060 in words is "five hundred fifty-six million, four hundred twenty-seven thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 29 31 35 58 62 70 116 124 140 145 155 203 217 290 310 406 434 580 620 812 868 899 1015 1085 1798 2030 2170 3596 4060 4340 4421 4495 6293 8842 8990 12586 17684 17980 22105 25172 30947 31465 44210 61894 62930 88420 123788 125860 128209 137051 154735 256418 274102 309470 512836 548204 618940 641045 685255 897463 959357 1282090 1370510 1794926 1918714 2564180 2741020 3589852 3837428 3974479 4487315 4796785 7948958 8974630 9593570 15897916 17949260 19187140 19872395 27821353 39744790 55642706 79489580 111285412 139106765 278213530 556427060