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66454360 = 23571723607
BaseRepresentation
bin1111110110000…
…0001101011000
311122001020020121
43331200031120
5114003014420
610332203024
71434565330
oct375401530
9148036217
1066454360
113456a165
121a309474
13109c9a0b
148b7c0c0
155c7a2aa
hex3f60358

66454360 has 128 divisors (see below), whose sum is σ = 189112320. Its totient is φ = 20477952.

The previous prime is 66454327. The next prime is 66454369. The reversal of 66454360 is 6345466.

66454360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66454369) 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 31 ways as a sum of consecutive naturals, for example, 109177 + ... + 109783.

It is an arithmetic number, because the mean of its divisors is an integer number (1477440).

Almost surely, 266454360 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 66454360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94556160).

66454360 is an abundant number, since it is smaller than the sum of its proper divisors (122657960).

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

66454360 is a wasteful number, since it uses less digits than its factorization.

66454360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The square root of 66454360 is about 8151.9543668988. The cubic root of 66454360 is about 405.0492446344.

The spelling of 66454360 in words is "sixty-six million, four hundred fifty-four thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 17 20 23 28 34 35 40 46 56 68 70 85 92 115 119 136 140 161 170 184 230 238 280 322 340 391 460 476 595 607 644 680 782 805 920 952 1190 1214 1288 1564 1610 1955 2380 2428 2737 3035 3128 3220 3910 4249 4760 4856 5474 6070 6440 7820 8498 10319 10948 12140 13685 13961 15640 16996 20638 21245 21896 24280 27370 27922 33992 41276 42490 51595 54740 55844 69805 72233 82552 84980 97727 103190 109480 111688 139610 144466 169960 195454 206380 237337 279220 288932 361165 390908 412760 474674 488635 558440 577864 722330 781816 949348 977270 1186685 1444660 1661359 1898696 1954540 2373370 2889320 3322718 3909080 4746740 6645436 8306795 9493480 13290872 16613590 33227180 66454360