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66622440 = 2335836689
BaseRepresentation
bin1111111000100…
…1001111101000
311122100202210210
43332021033220
5114023404230
610335541120
71436165343
oct376111750
9148322723
1066622440
1134674475
121a38a7a0
1310a58381
148bc345a
155caeeb0
hex3f893e8

66622440 has 64 divisors (see below), whose sum is σ = 202305600. Its totient is φ = 17549312.

The previous prime is 66622433. The next prime is 66622447. The reversal of 66622440 is 4422666.

It is an interprime number because it is at equal distance from previous prime (66622433) and next prime (66622447).

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 = 66622398 and 66622407.

It is not an unprimeable number, because it can be changed into a prime (66622447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6616 + ... + 13304.

It is an arithmetic number, because the mean of its divisors is an integer number (3161025).

Almost surely, 266622440 is an apocalyptic number.

66622440 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 66622440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101152800).

66622440 is an abundant number, since it is smaller than the sum of its proper divisors (135683160).

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

66622440 is a wasteful number, since it uses less digits than its factorization.

66622440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6786 (or 6782 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 66622440 is about 8162.2570407945. The cubic root of 66622440 is about 405.3904480295.

The spelling of 66622440 in words is "sixty-six million, six hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 249 332 415 498 664 830 996 1245 1660 1992 2490 3320 4980 6689 9960 13378 20067 26756 33445 40134 53512 66890 80268 100335 133780 160536 200670 267560 401340 555187 802680 1110374 1665561 2220748 2775935 3331122 4441496 5551870 6662244 8327805 11103740 13324488 16655610 22207480 33311220 66622440