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656056080 = 243254719387
BaseRepresentation
bin100111000110101…
…001111100010000
31200201111002202100
4213012221330100
52320422243310
6145033320400
722154245641
oct4706517420
91621432670
10656056080
11307365709
12163866100
13a5bc4684
14631b96c8
153c8e1ec0
hex271a9f10

656056080 has 120 divisors (see below), whose sum is σ = 2250248832. Its totient is φ = 171217152.

The previous prime is 656056043. The next prime is 656056081. The reversal of 656056080 is 80650656.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (656056081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24147 + ... + 43533.

Almost surely, 2656056080 is an apocalyptic number.

656056080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 656056080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125124416).

656056080 is an abundant number, since it is smaller than the sum of its proper divisors (1594192752).

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

656056080 is a wasteful number, since it uses less digits than its factorization.

656056080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19453 (or 19444 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 656056080 is about 25613.5917044057. The cubic root of 656056080 is about 868.9210564606.

The spelling of 656056080 in words is "six hundred fifty-six million, fifty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 47 48 60 72 80 90 94 120 141 144 180 188 235 240 282 360 376 423 470 564 705 720 752 846 940 1128 1410 1692 1880 2115 2256 2820 3384 3760 4230 5640 6768 8460 11280 16920 19387 33840 38774 58161 77548 96935 116322 155096 174483 193870 232644 290805 310192 348966 387740 465288 581610 697932 775480 872415 911189 930576 1163220 1395864 1550960 1744830 1822378 2326440 2733567 2791728 3489660 3644756 4555945 4652880 5467134 6979320 7289512 8200701 9111890 10934268 13667835 13958640 14579024 16401402 18223780 21868536 27335670 32802804 36447560 41003505 43737072 54671340 65605608 72895120 82007010 109342680 131211216 164014020 218685360 328028040 656056080