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660294480 = 243513919793
BaseRepresentation
bin100111010110110…
…100101101010000
31201000110102202010
4213112310231100
52323013410410
6145304222520
722235260536
oct4726645520
91630412663
10660294480
113097a001a
1216516aa40
13a6a498c1
14639a0156
153ce7cc20
hex275b4b50

660294480 has 80 divisors (see below), whose sum is σ = 2061743040. Its totient is φ = 174802944.

The previous prime is 660294473. The next prime is 660294487. The reversal of 660294480 is 84492066.

660294480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (660294473) and next prime (660294487).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (660294487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23464 + ... + 43256.

It is an arithmetic number, because the mean of its divisors is an integer number (25771788).

Almost surely, 2660294480 is an apocalyptic number.

660294480 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 660294480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030871520).

660294480 is an abundant number, since it is smaller than the sum of its proper divisors (1401448560).

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

660294480 is a wasteful number, since it uses less digits than its factorization.

660294480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19948 (or 19942 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 660294480 is about 25696.1958273983. The cubic root of 660294480 is about 870.7882405675.

The spelling of 660294480 in words is "six hundred sixty million, two hundred ninety-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 139 240 278 417 556 695 834 1112 1390 1668 2085 2224 2780 3336 4170 5560 6672 8340 11120 16680 19793 33360 39586 59379 79172 98965 118758 158344 197930 237516 296895 316688 395860 475032 593790 791720 950064 1187580 1583440 2375160 2751227 4750320 5502454 8253681 11004908 13756135 16507362 22009816 27512270 33014724 41268405 44019632 55024540 66029448 82536810 110049080 132058896 165073620 220098160 330147240 660294480