Search a number
-
+
65029356 = 223272111223
BaseRepresentation
bin1111100000010…
…0010011101100
311112100211111200
43320010103230
5113121414411
610241445500
71416511650
oct370042354
9145324450
1065029356
1133786577
1219940890
131061b212
1488caa60
155a97e56
hex3e044ec

65029356 has 72 divisors (see below), whose sum is σ = 188907264. Its totient is φ = 18476640.

The previous prime is 65029337. The next prime is 65029361. The reversal of 65029356 is 65392056.

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 65029356.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52561 + ... + 53783.

It is an arithmetic number, because the mean of its divisors is an integer number (2623712).

Almost surely, 265029356 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 65029356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94453632).

65029356 is an abundant number, since it is smaller than the sum of its proper divisors (123877908).

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

65029356 is a wasteful number, since it uses less digits than its factorization.

65029356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 65029356 is about 8064.0781246216. The cubic root of 65029356 is about 402.1330961978.

The spelling of 65029356 in words is "sixty-five million, twenty-nine thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 211 252 422 633 844 1223 1266 1477 1899 2446 2532 2954 3669 3798 4431 4892 5908 7338 7596 8561 8862 11007 13293 14676 17122 17724 22014 25683 26586 34244 44028 51366 53172 77049 102732 154098 258053 308196 516106 774159 1032212 1548318 1806371 2322477 3096636 3612742 4644954 5419113 7225484 9289908 10838226 16257339 21676452 32514678 65029356