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64461740 = 22572831627
BaseRepresentation
bin1111010111100…
…1101110101100
311111021222212212
43311321232230
5113000233430
610221345552
71411626050
oct365715654
9144258785
1064461740
1133429072
12197082b8
131047ca55
1487bdc60
1559d4b95
hex3d79bac

64461740 has 48 divisors (see below), whose sum is σ = 155350272. Its totient is φ = 22009536.

The previous prime is 64461731. The next prime is 64461743. The reversal of 64461740 is 4716446.

It is a junction number, because it is equal to n+sod(n) for n = 64461697 and 64461706.

It is not an unprimeable number, because it can be changed into a prime (64461743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38807 + ... + 40433.

It is an arithmetic number, because the mean of its divisors is an integer number (3236464).

Almost surely, 264461740 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 64461740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77675136).

64461740 is an abundant number, since it is smaller than the sum of its proper divisors (90888532).

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

64461740 is a wasteful number, since it uses less digits than its factorization.

64461740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 64461740 is about 8028.8068852103. The cubic root of 64461740 is about 400.9596541519.

The spelling of 64461740 in words is "sixty-four million, four hundred sixty-one thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 283 566 1132 1415 1627 1981 2830 3254 3962 5660 6508 7924 8135 9905 11389 16270 19810 22778 32540 39620 45556 56945 113890 227780 460441 920882 1841764 2302205 3223087 4604410 6446174 9208820 12892348 16115435 32230870 64461740