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556818340 = 2251317263479
BaseRepresentation
bin100001001100000…
…101111110100100
31102210202022011111
4201030011332210
52120021141330
6131130314404
716540610041
oct4114057644
91383668144
10556818340
11266344951
12136588a04
138b489b10
1453d461c8
1533d3d32a
hex21305fa4

556818340 has 96 divisors (see below), whose sum is σ = 1341204480. Its totient is φ = 192362496.

The previous prime is 556818337. The next prime is 556818347. The reversal of 556818340 is 43818655.

It is a junction number, because it is equal to n+sod(n) for n = 556818293 and 556818302.

It is not an unprimeable number, because it can be changed into a prime (556818347) by changing a digit.

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, 1162221 + ... + 1162699.

It is an arithmetic number, because the mean of its divisors is an integer number (13970880).

Almost surely, 2556818340 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 556818340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670602240).

556818340 is an abundant number, since it is smaller than the sum of its proper divisors (784386140).

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

556818340 is a wasteful number, since it uses less digits than its factorization.

556818340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The square root of 556818340 is about 23596.9985379497. The cubic root of 556818340 is about 822.6930789655.

The spelling of 556818340 in words is "five hundred fifty-six million, eight hundred eighteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 263 340 442 479 526 884 958 1052 1105 1315 1916 2210 2395 2630 3419 4420 4471 4790 5260 6227 6838 8143 8942 9580 12454 13676 16286 17095 17884 22355 24908 31135 32572 34190 40715 44710 58123 62270 68380 81430 89420 105859 116246 124540 125977 162860 211718 232492 251954 290615 423436 503908 529295 581230 629885 1058590 1162460 1259770 1637701 2117180 2141609 2519540 3275402 4283218 6550804 8188505 8566436 10708045 16377010 21416090 27840917 32754020 42832180 55681834 111363668 139204585 278409170 556818340