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4297680 = 2432547127
BaseRepresentation
bin10000011001001111010000
322002100022100
4100121033100
52100011210
6232040400
751346452
oct20311720
98070270
104297680
112475a02
121533100
13b7620a
147dc2d2
1559d5c0
hex4193d0

4297680 has 120 divisors (see below), whose sum is σ = 14856192. Its totient is φ = 1112832.

The previous prime is 4297673. The next prime is 4297681. The reversal of 4297680 is 867924.

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 an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4297681) 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, 33777 + ... + 33903.

Almost surely, 24297680 is an apocalyptic number.

4297680 is a gapful number since it is divisible by the number (40) 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 4297680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7428096).

4297680 is an abundant number, since it is smaller than the sum of its proper divisors (10558512).

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

4297680 is a wasteful number, since it uses less digits than its factorization.

4297680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4297680 is about 2073.0846581845. The cubic root of 4297680 is about 162.5840827181.

The spelling of 4297680 in words is "four million, two hundred ninety-seven thousand, six hundred 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 94 120 127 141 144 180 188 235 240 254 282 360 376 381 423 470 508 564 635 705 720 752 762 846 940 1016 1128 1143 1270 1410 1524 1692 1880 1905 2032 2115 2256 2286 2540 2820 3048 3384 3760 3810 4230 4572 5080 5640 5715 5969 6096 6768 7620 8460 9144 10160 11280 11430 11938 15240 16920 17907 18288 22860 23876 29845 30480 33840 35814 45720 47752 53721 59690 71628 89535 91440 95504 107442 119380 143256 179070 214884 238760 268605 286512 358140 429768 477520 537210 716280 859536 1074420 1432560 2148840 4297680