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556744680 = 233254433491
BaseRepresentation
bin100001001011110…
…011111111101000
31102210121120010100
4201023303333220
52120011312210
6131124545400
716540152222
oct4113637750
91383546110
10556744680
112662a4578
12136552260
138b46242b
1453d27412
1533d265c0
hex212f3fe8

556744680 has 96 divisors (see below), whose sum is σ = 1814024160. Its totient is φ = 148087680.

The previous prime is 556744673. The next prime is 556744687. The reversal of 556744680 is 86447655.

556744680 is a `hidden beast` number, since 5 + 567 + 4 + 4 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (556744673) and next prime (556744687).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (556744687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157735 + ... + 161225.

It is an arithmetic number, because the mean of its divisors is an integer number (18896085).

Almost surely, 2556744680 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 556744680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907012080).

556744680 is an abundant number, since it is smaller than the sum of its proper divisors (1257279480).

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

556744680 is a wasteful number, since it uses less digits than its factorization.

556744680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3951 (or 3944 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 556744680 is about 23595.4376946053. The cubic root of 556744680 is about 822.6568000811.

The spelling of 556744680 in words is "five hundred fifty-six million, seven hundred forty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 443 886 1329 1772 2215 2658 3491 3544 3987 4430 5316 6645 6982 7974 8860 10473 10632 13290 13964 15948 17455 17720 19935 20946 26580 27928 31419 31896 34910 39870 41892 52365 53160 62838 69820 79740 83784 104730 125676 139640 157095 159480 209460 251352 314190 418920 628380 1256760 1546513 3093026 4639539 6186052 7732565 9279078 12372104 13918617 15465130 18558156 23197695 27837234 30930260 37116312 46395390 55674468 61860520 69593085 92790780 111348936 139186170 185581560 278372340 556744680