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67242560 = 2657112729
BaseRepresentation
bin1000000001000…
…00101001000000
311200112021110012
410000200221000
5114203230220
610401124052
71444360310
oct400405100
9150467405
1067242560
1134a58370
121a629628
1310c146c8
148d05440
155d83ac5
hex4020a40

67242560 has 112 divisors (see below), whose sum is σ = 199704960. Its totient is φ = 20951040.

The previous prime is 67242493. The next prime is 67242569. The reversal of 67242560 is 6524276.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (67242569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23276 + ... + 26004.

It is an arithmetic number, because the mean of its divisors is an integer number (1783080).

Almost surely, 267242560 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 67242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99852480).

67242560 is an abundant number, since it is smaller than the sum of its proper divisors (132462400).

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

67242560 is a wasteful number, since it uses less digits than its factorization.

67242560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2764 (or 2754 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 67242560 is about 8200.1560960752. The cubic root of 67242560 is about 406.6443536385.

The spelling of 67242560 in words is "sixty-seven million, two hundred forty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 140 154 160 176 220 224 280 308 320 352 385 440 448 560 616 704 770 880 1120 1232 1540 1760 2240 2464 2729 3080 3520 4928 5458 6160 10916 12320 13645 19103 21832 24640 27290 30019 38206 43664 54580 60038 76412 87328 95515 109160 120076 150095 152824 174656 191030 210133 218320 240152 300190 305648 382060 420266 436640 480304 600380 611296 764120 840532 873280 960608 1050665 1200760 1222592 1528240 1681064 1921216 2101330 2401520 3056480 3362128 4202660 4803040 6112960 6724256 8405320 9606080 13448512 16810640 33621280 67242560