Search a number
-
+
66940056 = 23321078689
BaseRepresentation
bin1111111101011…
…0110010011000
311122221220111100
43333112302120
5114114040211
610350431400
71441660341
oct377266230
9148856440
1066940056
1134871067
121a502560
1310b39b01
148c670c8
155d24156
hex3fd6c98

66940056 has 48 divisors (see below), whose sum is σ = 183011400. Its totient is φ = 22102272.

The previous prime is 66940039. The next prime is 66940103. The reversal of 66940056 is 65004966.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 66940056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3360 + ... + 12048.

Almost surely, 266940056 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 66940056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91505700).

66940056 is an abundant number, since it is smaller than the sum of its proper divisors (116071344).

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

66940056 is a wasteful number, since it uses less digits than its factorization.

66940056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8808 (or 8801 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 66940056 is about 8181.6902899095. The cubic root of 66940056 is about 406.0336468188.

The spelling of 66940056 in words is "sixty-six million, nine hundred forty thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 107 214 321 428 642 856 963 1284 1926 2568 3852 7704 8689 17378 26067 34756 52134 69512 78201 104268 156402 208536 312804 625608 929723 1859446 2789169 3718892 5578338 7437784 8367507 11156676 16735014 22313352 33470028 66940056