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66740832 = 25322961131
BaseRepresentation
bin1111111010011…
…0001001100000
311122120210012200
43332212021200
5114041201312
610342253200
71440200454
oct376461140
9148523180
1066740832
1134745414
121a427200
1310a9a222
148c14664
155cd50dc
hex3fa6260

66740832 has 144 divisors (see below), whose sum is σ = 201080880. Its totient is φ = 20966400.

The previous prime is 66740831. The next prime is 66740837. The reversal of 66740832 is 23804766.

66740832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66740831) 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 23 ways as a sum of consecutive naturals, for example, 509407 + ... + 509537.

It is an arithmetic number, because the mean of its divisors is an integer number (1396395).

Almost surely, 266740832 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 66740832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100540440).

66740832 is an abundant number, since it is smaller than the sum of its proper divisors (134340048).

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

66740832 is a wasteful number, since it uses less digits than its factorization.

66740832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 66740832 is about 8169.5062274289. The cubic root of 66740832 is about 405.6304401602.

The spelling of 66740832 in words is "sixty-six million, seven hundred forty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 61 72 87 96 116 122 131 144 174 183 232 244 261 262 288 348 366 393 464 488 522 524 549 696 732 786 928 976 1044 1048 1098 1179 1392 1464 1572 1769 1952 2088 2096 2196 2358 2784 2928 3144 3538 3799 4176 4192 4392 4716 5307 5856 6288 7076 7598 7991 8352 8784 9432 10614 11397 12576 14152 15196 15921 15982 17568 18864 21228 22794 23973 28304 30392 31842 31964 34191 37728 42456 45588 47946 56608 60784 63684 63928 68382 71919 84912 91176 95892 121568 127368 127856 136764 143838 169824 182352 191784 231739 254736 255712 273528 287676 364704 383568 463478 509472 547056 575352 695217 767136 926956 1094112 1150704 1390434 1853912 2085651 2301408 2780868 3707824 4171302 5561736 7415648 8342604 11123472 16685208 22246944 33370416 66740832