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66523440 = 2435733797
BaseRepresentation
bin1111110111000…
…1000100110000
311122011202000010
43331301010300
5114012222230
610333454520
71435303614
oct375610460
9148152003
1066523440
1134607055
121a341440
1310a222a9
148b99344
155c909b0
hex3f71130

66523440 has 80 divisors (see below), whose sum is σ = 209102688. Its totient is φ = 17491968.

The previous prime is 66523423. The next prime is 66523453. The reversal of 66523440 is 4432566.

66523440 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 66523398 and 66523407.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 15622 + ... + 19418.

Almost surely, 266523440 is an apocalyptic number.

66523440 is a gapful number since it is divisible by the number (60) 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 66523440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104551344).

66523440 is an abundant number, since it is smaller than the sum of its proper divisors (142579248).

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

66523440 is a wasteful number, since it uses less digits than its factorization.

66523440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3886 (or 3880 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 66523440 is about 8156.1902871377. The cubic root of 66523440 is about 405.1895470011.

The spelling of 66523440 in words is "sixty-six million, five hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 73 80 120 146 219 240 292 365 438 584 730 876 1095 1168 1460 1752 2190 2920 3504 3797 4380 5840 7594 8760 11391 15188 17520 18985 22782 30376 37970 45564 56955 60752 75940 91128 113910 151880 182256 227820 277181 303760 455640 554362 831543 911280 1108724 1385905 1663086 2217448 2771810 3326172 4157715 4434896 5543620 6652344 8315430 11087240 13304688 16630860 22174480 33261720 66523440