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66569440 = 255731213
BaseRepresentation
bin1111110111110…
…0010011100000
311122021002002211
43331330103200
5114020210230
610334451504
71435555000
oct375742340
9148232084
1066569440
1134638673
121a363b94
1310a3a202
148bac000
155c9e42a
hex3f7c4e0

66569440 has 96 divisors (see below), whose sum is σ = 183556800. Its totient is φ = 22804992.

The previous prime is 66569417. The next prime is 66569443. The reversal of 66569440 is 4496566.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 66569393 and 66569402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66569443) 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, 54274 + ... + 55486.

It is an arithmetic number, because the mean of its divisors is an integer number (1912050).

Almost surely, 266569440 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 66569440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91778400).

66569440 is an abundant number, since it is smaller than the sum of its proper divisors (116987360).

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

66569440 is a wasteful number, since it uses less digits than its factorization.

66569440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The square root of 66569440 is about 8159.0097438353. The cubic root of 66569440 is about 405.2829197265.

The spelling of 66569440 in words is "sixty-six million, five hundred sixty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 343 392 490 560 686 784 980 1120 1213 1372 1568 1715 1960 2426 2744 3430 3920 4852 5488 6065 6860 7840 8491 9704 10976 12130 13720 16982 19408 24260 27440 33964 38816 42455 48520 54880 59437 67928 84910 97040 118874 135856 169820 194080 237748 271712 297185 339640 416059 475496 594370 679280 832118 950992 1188740 1358560 1664236 1901984 2080295 2377480 3328472 4160590 4754960 6656944 8321180 9509920 13313888 16642360 33284720 66569440