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661665060 = 2232574711173
BaseRepresentation
bin100111011100000…
…011010100100100
31201010001001211100
4213130003110210
52323341240220
6145353440100
722253026440
oct4734032444
91633031740
10661665060
1130a546831
12165710030
13a71096b4
1463c39820
153d14dd90
hex27703524

661665060 has 144 divisors (see below), whose sum is σ = 2342785536. Its totient is φ = 148006656.

The previous prime is 661665049. The next prime is 661665061. The reversal of 661665060 is 60566166.

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 (661665061) 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 47 ways as a sum of consecutive naturals, for example, 53634 + ... + 64806.

It is an arithmetic number, because the mean of its divisors is an integer number (16269344).

Almost surely, 2661665060 is an apocalyptic number.

661665060 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 661665060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171392768).

661665060 is an abundant number, since it is smaller than the sum of its proper divisors (1681120476).

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

661665060 is a wasteful number, since it uses less digits than its factorization.

661665060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11242 (or 11237 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 661665060 is about 25722.8509306414. The cubic root of 661665060 is about 871.3903255248.

The spelling of 661665060 in words is "six hundred sixty-one million, six hundred sixty-five thousand, sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 47 60 63 70 84 90 94 105 126 140 141 180 188 210 235 252 282 315 329 420 423 470 564 630 658 705 846 940 987 1260 1316 1410 1645 1692 1974 2115 2820 2961 3290 3948 4230 4935 5922 6580 8460 9870 11173 11844 14805 19740 22346 29610 33519 44692 55865 59220 67038 78211 100557 111730 134076 156422 167595 201114 223460 234633 312844 335190 391055 402228 469266 502785 525131 670380 703899 782110 938532 1005570 1050262 1173165 1407798 1564220 1575393 2011140 2100524 2346330 2625655 2815596 3150786 3519495 3675917 4692660 4726179 5251310 6301572 7038990 7351834 7876965 9452358 10502620 11027751 14077980 14703668 15753930 18379585 18904716 22055502 23630895 31507860 33083253 36759170 44111004 47261790 55138755 66166506 73518340 94523580 110277510 132333012 165416265 220555020 330832530 661665060